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33131550132 = 22322027454031
BaseRepresentation
bin11110110110110010…
…110101010110110100
310011111222212010120100
4132312302311112310
51020323134101012
623115340034100
72252013346422
oct366662652664
9104458763510
1033131550132
1113061994a9a
126507832930
1331800b8845
1418642d6112
15cdda058dc
hex7b6cb55b4

33131550132 has 36 divisors (see below), whose sum is σ = 83790697536. Its totient is φ = 11038377360.

The previous prime is 33131550131. The next prime is 33131550197. The reversal of 33131550132 is 23105513133.

33131550132 is a `hidden beast` number, since 331 + 315 + 5 + 0 + 13 + 2 = 666.

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

It is a super-2 number, since 2×331315501322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33131550096 and 33131550105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33131550131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154044 + ... + 299987.

It is an arithmetic number, because the mean of its divisors is an integer number (2327519376).

Almost surely, 233131550132 is an apocalyptic number.

It is an amenable number.

33131550132 is an abundant number, since it is smaller than the sum of its proper divisors (50659147404).

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

33131550132 is a wasteful number, since it uses less digits than its factorization.

33131550132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456068 (or 456063 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The spelling of 33131550132 in words is "thirty-three billion, one hundred thirty-one million, five hundred fifty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2027 4054 6081 8108 12162 18243 24324 36486 72972 454031 908062 1362093 1816124 2724186 4086279 5448372 8172558 16345116 920320837 1840641674 2760962511 3681283348 5521925022 8282887533 11043850044 16565775066 33131550132