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150229918692 = 223272509167317
BaseRepresentation
bin1000101111101001100…
…1101010001111100100
3112100202210002121000200
42023322121222033210
54430132324344232
6153003100310500
713565560145100
oct2137231521744
9470683077020
10150229918692
11587919664a7
1225147842430
13112220b0719
1473b2120900
153d93d9877c
hex22fa66a3e4

150229918692 has 108 divisors (see below), whose sum is σ = 442618017660. Its totient is φ = 42838250112.

The previous prime is 150229918687. The next prime is 150229918717. The reversal of 150229918692 is 296819922051.

150229918692 is a `hidden beast` number, since 150 + 229 + 9 + 186 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 141869742336 + 8360176356 = 376656^2 + 91434^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 814218 + ... + 981534.

Almost surely, 2150229918692 is an apocalyptic number.

150229918692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150229918692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221309008830).

150229918692 is an abundant number, since it is smaller than the sum of its proper divisors (292388098968).

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

150229918692 is a wasteful number, since it uses less digits than its factorization.

150229918692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167850 (or 167838 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 150229918692 in words is "one hundred fifty billion, two hundred twenty-nine million, nine hundred eighteen thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 509 588 882 1018 1527 1764 2036 3054 3563 4581 6108 7126 9162 10689 14252 18324 21378 24941 32067 42756 49882 64134 74823 99764 128268 149646 167317 224469 299292 334634 448938 501951 669268 897876 1003902 1171219 1505853 2007804 2342438 3011706 3513657 4684876 6023412 7027314 8198533 10540971 14054628 16397066 21081942 24595599 32794132 42163884 49191198 73786797 85164353 98382396 147573594 170328706 255493059 295147188 340657412 510986118 596150471 766479177 1021972236 1192300942 1532958354 1788451413 2384601884 3065916708 3576902826 4173053297 5365354239 7153805652 8346106594 10730708478 12519159891 16692213188 21461416956 25038319782 37557479673 50076639564 75114959346 150229918692