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56126720772 = 223311312173779
BaseRepresentation
bin110100010001011010…
…011100101100000100
312100212120022211112000
4310101122130230010
51404421420031042
641441222225300
74024605153303
oct642132345404
9170776284460
1056126720772
1121892086051
12aa64885230
1353a61767a5
142a062c843a
1516d76ae74c
hexd1169cb04

56126720772 has 96 divisors (see below), whose sum is σ = 146960956800. Its totient is φ = 18523201536.

The previous prime is 56126720737. The next prime is 56126720773. The reversal of 56126720772 is 27702762165.

56126720772 is a `hidden beast` number, since 5 + 612 + 6 + 7 + 20 + 7 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (56126720773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14850379 + ... + 14854157.

It is an arithmetic number, because the mean of its divisors is an integer number (1530843300).

Almost surely, 256126720772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56126720772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73480478400).

56126720772 is an abundant number, since it is smaller than the sum of its proper divisors (90834236028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56126720772 is a wasteful number, since it uses less digits than its factorization.

56126720772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 56126720772 in words is "fifty-six billion, one hundred twenty-six million, seven hundred twenty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1217 1356 2034 2434 3051 3651 3779 4068 4868 6102 7302 7558 10953 11337 12204 14604 15116 21906 22674 32859 34011 43812 45348 65718 68022 102033 131436 136044 137521 204066 275042 408132 412563 427027 550084 825126 854054 1237689 1281081 1650252 1708108 2475378 2562162 3713067 3843243 4599043 4950756 5124324 7426134 7686486 9198086 11529729 13797129 14852268 15372972 18396172 23059458 27594258 41391387 46118916 55188516 82782774 124174161 165565548 248348322 496696644 519691859 1039383718 1559075577 2078767436 3118151154 4677226731 6236302308 9354453462 14031680193 18708906924 28063360386 56126720772