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129132271296 = 2632732026853
BaseRepresentation
bin111100001000011100…
…0100001011011000000
3110100022110011001121200
41320100320201123000
54103430330140141
6135153400421200
712221006124030
oct1702070413300
9410273131550
10129132271296
114a845889776
122103a177800
13c23c199bb2
14637014d8c0
15355baadab6
hex1e10e216c0

129132271296 has 84 divisors (see below), whose sum is σ = 423010687632. Its totient is φ = 36894933504.

The previous prime is 129132271277. The next prime is 129132271351. The reversal of 129132271296 is 692172231921.

129132271296 is a `hidden beast` number, since 1 + 2 + 91 + 3 + 2 + 271 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

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, 16009395 + ... + 16017458.

Almost surely, 2129132271296 is an apocalyptic number.

129132271296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

129132271296 is an abundant number, since it is smaller than the sum of its proper divisors (293878416336).

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

129132271296 is a wasteful number, since it uses less digits than its factorization.

129132271296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32026878 (or 32026865 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The spelling of 129132271296 in words is "one hundred twenty-nine billion, one hundred thirty-two million, two hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 32026853 64053706 96080559 128107412 192161118 224187971 256214824 288241677 384322236 448375942 512429648 576483354 672563913 768644472 896751884 1024859296 1152966708 1345127826 1537288944 1793503768 2017691739 2049718592 2305933416 2690255652 3074577888 3587007536 4035383478 4611866832 5380511304 6149155776 7174015072 8070766956 9223733664 10761022608 14348030144 16141533912 18447467328 21522045216 32283067824 43044090432 64566135648 129132271296