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132355225504431 = 3378747591308841
BaseRepresentation
bin11110000110000001011010…
…001100110100101010101111
3122100122000222020022110121000
4132012001122030310222233
5114322002000212120211
61145255052354211343
736610230605162556
oct3606013214645257
9570560866273530
10132355225504431
1139199599338166
1212a173b5283b53
1358b1076190717
1424980544c2d9d
151047ce3227656
hex78605a334aaf

132355225504431 has 32 divisors (see below), whose sum is σ = 196372371238400. Its totient is φ = 88106114266560.

The previous prime is 132355225504423. The next prime is 132355225504441. The reversal of 132355225504431 is 134405522553231.

132355225504431 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 5 + 5 + 22 + 550 + 44 + 31 = 666.

It is not a de Polignac number, because 132355225504431 - 23 = 132355225504423 is a prime.

It is a super-2 number, since 2×1323552255044312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132355225504441) by changing a digit.

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, 100469571 + ... + 101778411.

It is an arithmetic number, because the mean of its divisors is an integer number (6136636601200).

Almost surely, 2132355225504431 is an apocalyptic number.

132355225504431 is a deficient number, since it is larger than the sum of its proper divisors (64017145733969).

132355225504431 is a wasteful number, since it uses less digits than its factorization.

132355225504431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314396 (or 1314390 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 132355225504431 in words is "one hundred thirty-two trillion, three hundred fifty-five billion, two hundred twenty-five million, five hundred four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 787 2361 4759 7083 14277 21249 42831 128493 1308841 3745333 3926523 11235999 11779569 33707997 35338707 101123991 1030057867 3090173601 6228774319 9270520803 18686322957 27811562409 56058968871 168176906613 4902045389053 14706136167159 44118408501477 132355225504431