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136429090863 = 313217151104827
BaseRepresentation
bin111111100001111001…
…1101011100000101111
3111001010222101220022020
41333003303223200233
54213401321401423
6142401420521223
712566561065332
oct1770363534057
9431128356266
10136429090863
115294a73526a
12225359b0213
13cb32b29100
146863292619
1538374a94e3
hex1fc3ceb82f

136429090863 has 48 divisors (see below), whose sum is σ = 209944486656. Its totient is φ = 78493708800.

The previous prime is 136429090807. The next prime is 136429090867. The reversal of 136429090863 is 368090924631.

It is not a de Polignac number, because 136429090863 - 26 = 136429090799 is a prime.

It is a super-2 number, since 2×1364290908632 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136429090867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249056 + ... + 1353882.

It is an arithmetic number, because the mean of its divisors is an integer number (4373843472).

Almost surely, 2136429090863 is an apocalyptic number.

136429090863 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

136429090863 is a deficient number, since it is larger than the sum of its proper divisors (73515395793).

136429090863 is a wasteful number, since it uses less digits than its factorization.

136429090863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105024 (or 105011 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 136429090863 in words is "one hundred thirty-six billion, four hundred twenty-nine million, ninety thousand, eight hundred sixty-three".

Divisors: 1 3 13 17 39 51 151 169 221 453 507 663 1963 2567 2873 5889 7701 8619 25519 33371 76557 100113 104827 314481 433823 1301469 1362751 1782059 4088253 5346177 15828877 17715763 23166767 47486631 53147289 69500301 205775401 269090909 301167971 617326203 807272727 903503913 2675080213 3498181817 8025240639 10494545451 45476363621 136429090863