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132042400956 = 223223511560121
BaseRepresentation
bin111101011111001010…
…1110010010010111100
3110121211021001222000200
41322332111302102330
54130410323312311
6140354234523500
712353063614044
oct1727625622274
9417737058020
10132042400956
1150aa9547204
1221710896590
13c5b40764cb
146568840724
15367c2ee556
hex1ebe5724bc

132042400956 has 36 divisors (see below), whose sum is σ = 333916031904. Its totient is φ = 43995384000.

The previous prime is 132042400939. The next prime is 132042400981. The reversal of 132042400956 is 659004240231.

It is a happy number.

132042400956 is a `hidden beast` number, since 1 + 320 + 4 + 240 + 0 + 95 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132042400956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 695425 + ... + 864696.

Almost surely, 2132042400956 is an apocalyptic number.

It is an amenable number.

132042400956 is an abundant number, since it is smaller than the sum of its proper divisors (201873630948).

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

132042400956 is a wasteful number, since it uses less digits than its factorization.

132042400956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562482 (or 1562477 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 132042400956 in words is "one hundred thirty-two billion, forty-two million, four hundred thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2351 4702 7053 9404 14106 21159 28212 42318 84636 1560121 3120242 4680363 6240484 9360726 14041089 18721452 28082178 56164356 3667844471 7335688942 11003533413 14671377884 22007066826 33010600239 44014133652 66021200478 132042400956