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165032211036132 = 2232113257471279361
BaseRepresentation
bin100101100001100010001110…
…010100001011011111100100
3210122022220222112120100102100
4211201202032110023133210
5133112341432011124012
61342554430124012100
746522120015264356
oct4541421624133744
9718286875510370
10165032211036132
1148647849826a60
1216614421691030
13711161724748b
142ca785cc4b0d6
151412cee8698dc
hex96188e50b7e4

165032211036132 has 72 divisors (see below), whose sum is σ = 455090577151392. Its totient is φ = 50009568307200.

The previous prime is 165032211036131. The next prime is 165032211036179. The reversal of 165032211036132 is 231630112230561.

165032211036132 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 3 + 2 + 21 + 10 + 3 + 613 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (165032211036131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128356132 + ... + 129635492.

It is an arithmetic number, because the mean of its divisors is an integer number (6320702460436).

Almost surely, 2165032211036132 is an apocalyptic number.

165032211036132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165032211036132 is an abundant number, since it is smaller than the sum of its proper divisors (290058366115260).

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

165032211036132 is a wasteful number, since it uses less digits than its factorization.

165032211036132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605129 (or 1605124 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 165032211036132 its reverse (231630112230561), we get a palindrome (396662323266693).

The spelling of 165032211036132 in words is "one hundred sixty-five trillion, thirty-two billion, two hundred eleven million, thirty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 325747 651494 977241 1279361 1302988 1954482 2558722 2931723 3583217 3838083 3908964 5117444 5863446 7166434 7676166 10749651 11514249 11726892 14072971 14332868 15352332 21499302 23028498 28145942 32248953 42218913 42998604 46056996 56291884 64497906 84437826 126656739 128995812 168875652 253313478 506626956 416748007667 833496015334 1250244023001 1666992030668 2500488046002 3750732069003 4584228084337 5000976092004 7501464138006 9168456168674 13752684253011 15002928276012 18336912337348 27505368506022 41258052759033 55010737012044 82516105518066 165032211036132