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132156613360431 = 32118771522138297
BaseRepresentation
bin11110000011001000011011…
…111111100111101100101111
3122022221001022121112011121200
4132003020123333213230233
5114310223221010013211
61145023524322500543
736560000035622142
oct3603103377475457
9568831277464550
10132156613360431
1139122339a207a0
12129a4a06504753
13589841355a61a
14248c5b2872059
151042a6ba49b56
hex78321bfe7b2f

132156613360431 has 24 divisors (see below), whose sum is σ = 208484238400464. Its totient is φ = 80003588837760.

The previous prime is 132156613360363. The next prime is 132156613360459. The reversal of 132156613360431 is 134063316651231.

It is a happy number.

132156613360431 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 6 + 6 + 1 + 3 + 3 + 604 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-132156613360431 is a prime.

It is a super-2 number, since 2×1321566133604312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132156613360931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760982326 + ... + 761155971.

It is an arithmetic number, because the mean of its divisors is an integer number (8686843266686).

Almost surely, 2132156613360431 is an apocalyptic number.

132156613360431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132156613360431 is a deficient number, since it is larger than the sum of its proper divisors (76327625040033).

132156613360431 is a wasteful number, since it uses less digits than its factorization.

132156613360431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522139191 (or 1522139188 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 132156613360431 in words is "one hundred thirty-two trillion, one hundred fifty-six billion, six hundred thirteen million, three hundred sixty thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 877 2631 7893 9647 28941 86823 1522138297 4566414891 13699244673 16743521267 50230563801 150691691403 1334915286469 4004745859407 12014237578221 14684068151159 44052204453477 132156613360431