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56462466426465 = 35111394871505409
BaseRepresentation
bin11001101011010001100010…
…10000010010011001100001
321101220202111100212102211110
430311220301100102121201
524400040112401121330
6320030255440533533
714615164360615611
oct1465506120223141
9241822440772743
1056462466426465
1116a99663362680
1263ba9799212a9
132567506b24018
14dd2b25840a41
1567dab953bdb0
hex335a31412661

56462466426465 has 64 divisors (see below), whose sum is σ = 99282255206400. Its totient is φ = 27173160038400.

The previous prime is 56462466426461. The next prime is 56462466426523.

It is a happy number.

56462466426465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56462466426465 - 22 = 56462466426461 is a prime.

It is a super-2 number, since 2×564624664264652 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 56462466426396 and 56462466426405.

It is not an unprimeable number, because it can be changed into a prime (56462466426461) by changing a digit.

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, 111463681 + ... + 111969089.

It is an arithmetic number, because the mean of its divisors is an integer number (1551285237600).

Almost surely, 256462466426465 is an apocalyptic number.

56462466426465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56462466426465 is a deficient number, since it is larger than the sum of its proper divisors (42819788779935).

56462466426465 is a wasteful number, since it uses less digits than its factorization.

56462466426465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510438.

The product of its digits is 1194393600, while the sum is 66.

The spelling of 56462466426465 in words is "fifty-six trillion, four hundred sixty-two billion, four hundred sixty-six million, four hundred twenty-six thousand, four hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 139 165 417 695 1529 2085 4587 4871 7645 14613 22935 24355 53581 73065 160743 267905 505409 677069 803715 1516227 2031207 2527045 3385345 5559499 7447759 7581135 10156035 16678497 22343277 27797495 37238795 70251851 83392485 111716385 210755553 351259255 772770361 1053777765 2318311083 2461847239 3863851805 7385541717 11591555415 12309236195 27080319629 36927708585 81240958887 135401598145 342196766221 406204794435 1026590298663 1710983831105 3764164428431 5132951493315 11292493285293 18820822142155 56462466426465