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132151131056016 = 2434503202720607
BaseRepresentation
bin11110000011000011010101…
…001110010010011110010000
3122022220112011112121020210000
4132003003111032102132100
5114310131004022243031
61145021220322010000
736556414136041302
oct3603032516223620
9568815145536700
10132151131056016
113911aa863432a6
12129a39364a6900
135897a4b801207
14248c212703972
15104284a5c33e6
hex7830d5392790

132151131056016 has 100 divisors (see below), whose sum is σ = 383244120306432. Its totient is φ = 43962801499584.

The previous prime is 132151131055997. The next prime is 132151131056027. The reversal of 132151131056016 is 610650131151231.

132151131056016 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 11 + 31 + 0 + 5 + 601 + 6 = 666.

It is a super-2 number, since 2×1321511310560162 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100708416 + ... + 102012191.

Almost surely, 2132151131056016 is an apocalyptic number.

132151131056016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132151131056016 is an abundant number, since it is smaller than the sum of its proper divisors (251092989250416).

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

132151131056016 is a wasteful number, since it uses less digits than its factorization.

132151131056016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202721130 (or 202721115 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 132151131056016 in words is "one hundred thirty-two trillion, one hundred fifty-one billion, one hundred thirty-one million, fifty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 503 648 1006 1296 1509 2012 3018 4024 4527 6036 8048 9054 12072 13581 18108 24144 27162 36216 40743 54324 72432 81486 108648 162972 217296 325944 651888 202720607 405441214 608161821 810882428 1216323642 1621764856 1824485463 2432647284 3243529712 3648970926 4865294568 5473456389 7297941852 9730589136 10946912778 14595883704 16420369167 21893825556 29191767408 32840738334 43787651112 65681476668 87575302224 101968465321 131362953336 203936930642 262725906672 305905395963 407873861284 611810791926 815747722568 917716187889 1223621583852 1631495445136 1835432375778 2447243167704 2753148563667 3670864751556 4894486335408 5506297127334 7341729503112 8259445691001 11012594254668 14683459006224 16518891382002 22025188509336 33037782764004 44050377018672 66075565528008 132151131056016