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56455266255465 = 35711263185851781
BaseRepresentation
bin11001101011000100001000…
…00101110100001001101001
321101220001220120110212001110
430311202010011310021221
524344430341130133330
6320023105152140533
714614521061310460
oct1465420405641151
9241801816425043
1056455266255465
1116a965a9019630
1263b94aa537749
13256692a203ccc
14dd26414999d7
1567d7e7382db0
hex335884174269

56455266255465 has 64 divisors (see below), whose sum is σ = 113045461512192. Its totient is φ = 23372719852800.

The previous prime is 56455266255431. The next prime is 56455266255497.

56455266255465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56455266255465 - 222 = 56455262061161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56455266255396 and 56455266255405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92622126 + ... + 93229655.

It is an arithmetic number, because the mean of its divisors is an integer number (1766335336128).

Almost surely, 256455266255465 is an apocalyptic number.

56455266255465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56455266255465 is an abundant number, since it is smaller than the sum of its proper divisors (56590195256727).

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

56455266255465 is a wasteful number, since it uses less digits than its factorization.

56455266255465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185852070.

The product of its digits is 1296000000, while the sum is 66.

The spelling of 56455266255465 in words is "fifty-six trillion, four hundred fifty-five billion, two hundred sixty-six million, two hundred fifty-five thousand, four hundred sixty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 263 385 789 1155 1315 1841 2893 3945 5523 8679 9205 14465 20251 27615 43395 60753 101255 303765 185851781 557555343 929258905 1300962467 2044369591 2787776715 3902887401 6133108773 6504812335 10221847955 14310587137 19514437005 30665543865 42931761411 48879018403 71552935685 146637055209 214658807055 244395092015 342153128821 537669202433 733185276045 1026459386463 1613007607299 1710765644105 2688346012165 3763684417031 5132296932315 8065038036495 11291053251093 18818422085155 56455266255465