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151149616992 = 25321147711369
BaseRepresentation
bin1000110011000100111…
…0000001111101100000
3112110010212200002220200
42030301032001331200
54434023300220432
6153234232505200
713630425355203
oct2146116017540
9473125602820
10151149616992
1159114022440
122536384b200
131133a7b30ba
14745c32793a
153de99b6a7c
hex2331381f60

151149616992 has 72 divisors (see below), whose sum is σ = 468907344360. Its totient is φ = 45802913280.

The previous prime is 151149616949. The next prime is 151149616993. The reversal of 151149616992 is 299616941151.

151149616992 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 496 + 1 + 69 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151149616993) 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, 23852517 + ... + 23858852.

It is an arithmetic number, because the mean of its divisors is an integer number (6512602005).

Almost surely, 2151149616992 is an apocalyptic number.

151149616992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151149616992 is an abundant number, since it is smaller than the sum of its proper divisors (317757727368).

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

151149616992 is a wasteful number, since it uses less digits than its factorization.

151149616992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47711396 (or 47711385 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The spelling of 151149616992 in words is "one hundred fifty-one billion, one hundred forty-nine million, six hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 47711369 95422738 143134107 190845476 286268214 381690952 429402321 524825059 572536428 763381904 858804642 1049650118 1145072856 1526763808 1574475177 1717609284 2099300236 2290145712 3148950354 3435218568 4198600472 4580291424 4723425531 6297900708 6870437136 8397200944 9446851062 12595801416 13740874272 16794401888 18893702124 25191602832 37787404248 50383205664 75574808496 151149616992