Encode y Decoder de base10 a base58.

base58.py

#!/usr/bin/env python
# -*- coding: utf-8 -*-

BASE_58 = ('1', '2', '3', '4', '5', '6', '7', '8', '9', 'A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'J', 'K', 'L', 
    'M', 'N', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z', 
    'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z')

def div58(n):
	yield n
	while True:
		n = n // 58
		if n:
			yield n
		else:
			return

def decimal_to_base58(number):
	res = []
	for n in div58(number):
		res.append(n % 58)
	return ''.join(BASE_58[i] for i in res[::-1])

def base58_to_decimal(number):
	return sum( BASE_58.index(v) * (58 ** i)  for i, v in enumerate(number[::-1]) )


bitcoin_address_int = 35873778057646637307440121179298518192096716765629162297729
bitcoin_address_b58 = decimal_to_base58(bitcoin_address_int)

print('La direccion bitcoin en base 58 es %s' %bitcoin_address_b58)
print('En su estado decimal es %s' %base58_to_decimal(bitcoin_address_b58))