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132121956521088 = 27321071071861667
BaseRepresentation
bin11110000010101000001010…
…010010010001010010000000
3122022210201212022120022121100
4132002220022102101102000
5114304141231332133323
61144555553334254400
736554332151426202
oct3602501222212200
9568721768508540
10132121956521088
1139109675053406
121299a153ab7400
13589507c466ab1
14248aa45b72772
151041bde1a1943
hex782a0a491480

132121956521088 has 96 divisors (see below), whose sum is σ = 383747914377360. Its totient is φ = 43629057252864.

The previous prime is 132121956521059. The next prime is 132121956521141. The reversal of 132121956521088 is 880125659121231.

It is a happy number.

132121956521088 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 21 + 95 + 6 + 521 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1321219565210882 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 535807570 + ... + 536054097.

Almost surely, 2132121956521088 is an apocalyptic number.

132121956521088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132121956521088 is an abundant number, since it is smaller than the sum of its proper divisors (251625957856272).

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

132121956521088 is a wasteful number, since it uses less digits than its factorization.

132121956521088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071861794 (or 1071861779 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 132121956521088 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, nine hundred fifty-six million, five hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 288 321 384 428 576 642 856 963 1152 1284 1712 1926 2568 3424 3852 5136 6848 7704 10272 13696 15408 20544 30816 41088 61632 123264 1071861667 2143723334 3215585001 4287446668 6431170002 8574893336 9646755003 12862340004 17149786672 19293510006 25724680008 34299573344 38587020012 51449360016 68599146688 77174040024 102898720032 114689198369 137198293376 154348080048 205797440064 229378396738 308696160096 344067595107 411594880128 458756793476 617392320192 688135190214 917513586952 1032202785321 1234784640384 1376270380428 1835027173904 2064405570642 2752540760856 3670054347808 4128811141284 5505081521712 7340108695616 8257622282568 11010163043424 14680217391232 16515244565136 22020326086848 33030489130272 44040652173696 66060978260544 132121956521088