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56777002721172 = 22333173232307993
BaseRepresentation
bin11001110100011011011010…
…00101000001111110010100
321110000211100221101202012000
430322031231011001332110
524420213300144034142
6320430554525155300
714650001025200226
oct1472155505017624
9243024327352160
1056777002721172
11170aaa9a954278
12644b91b3bbb30
13258b0823b3a36
14100404337c416
15686d77e6614c
hex33a36d141f94

56777002721172 has 96 divisors (see below), whose sum is σ = 154029492341760. Its totient is φ = 18064269457920.

The previous prime is 56777002721113. The next prime is 56777002721291. The reversal of 56777002721172 is 27112720077765.

It is a happy number.

56777002721172 is a `hidden beast` number, since 567 + 7 + 7 + 0 + 0 + 2 + 7 + 2 + 1 + 1 + 72 = 666.

56777002721172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 115909593 + ... + 116398400.

It is an arithmetic number, because the mean of its divisors is an integer number (1604473878560).

Almost surely, 256777002721172 is an apocalyptic number.

It is an amenable number.

56777002721172 is an abundant number, since it is smaller than the sum of its proper divisors (97252489620588).

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

56777002721172 is a wasteful number, since it uses less digits than its factorization.

56777002721172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232308110 (or 232308102 counting only the distinct ones).

The product of its (nonzero) digits is 4033680, while the sum is 54.

The spelling of 56777002721172 in words is "fifty-six trillion, seven hundred seventy-seven billion, two million, seven hundred twenty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 73 93 108 124 146 186 219 279 292 372 438 558 657 837 876 1116 1314 1674 1971 2263 2628 3348 3942 4526 6789 7884 9052 13578 20367 27156 40734 61101 81468 122202 244404 232307993 464615986 696923979 929231972 1393847958 2090771937 2787695916 4181543874 6272315811 7201547783 8363087748 12544631622 14403095566 16958483489 21604643349 25089263244 28806191132 33916966978 43209286698 50875450467 64813930047 67833933956 86418573396 101750900934 129627860094 152626351401 194441790141 203501801868 259255720188 305252702802 388883580282 457879054203 525712988159 610505405604 777767160564 915758108406 1051425976318 1577138964477 1831516216812 2102851952636 3154277928954 4731416893431 6308555857908 9462833786862 14194250680293 18925667573724 28388501360586 56777002721172