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56457033075465 = 35111093929798961
BaseRepresentation
bin11001101011000111011010…
…11001101100101100001001
321101220020110201001121110020
430311203231121230230021
524344443000431403330
6320024000345211053
714614612624113261
oct1465435531545411
9241806421047406
1056457033075465
1116a97325380650
1263b9902190a89
132566b4c277829
14dd276bdb67a1
1567d89c535210
hex3358ed66cb09

56457033075465 has 64 divisors (see below), whose sum is σ = 99472686508800. Its totient is φ = 27115040563200.

The previous prime is 56457033075451. The next prime is 56457033075497.

It is a happy number.

56457033075465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56457033075465 - 25 = 56457033075433 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56457033075399 and 56457033075408.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70263585 + ... + 71062545.

It is an arithmetic number, because the mean of its divisors is an integer number (1554260726700).

Almost surely, 256457033075465 is an apocalyptic number.

56457033075465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56457033075465 is a deficient number, since it is larger than the sum of its proper divisors (43015653433335).

56457033075465 is a wasteful number, since it uses less digits than its factorization.

56457033075465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803018.

The product of its (nonzero) digits is 158760000, while the sum is 60.

The spelling of 56457033075465 in words is "fifty-six trillion, four hundred fifty-seven billion, thirty-three million, seventy-five thousand, four hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 109 165 327 545 1199 1635 3597 3929 5995 11787 17985 19645 43219 58935 129657 216095 428261 648285 798961 1284783 2141305 2396883 3994805 4710871 6423915 8788571 11984415 14132613 23554355 26365713 43942855 70663065 87086749 131828565 261260247 435433745 957954239 1306301235 2873862717 3139117769 4789771195 9417353307 14369313585 15695588845 34530295459 47086766535 103590886377 172651477295 342163836821 517954431885 1026491510463 1710819184105 3763802205031 5132457552315 11291406615093 18819011025155 56457033075465