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132875394048 = 2103219758837
BaseRepresentation
bin111101110111111111…
…1011001110000000000
3110200222022111101201200
41323233333121300000
54134112100102143
6141013032501200
712412530133245
oct1735777316000
9420868441650
10132875394048
1151396772251
122190384a800
13c6b780b827
1466073175cc
1536ca4e21d3
hex1eeffd9c00

132875394048 has 132 divisors (see below), whose sum is σ = 403868760360. Its totient is φ = 41960595456.

The previous prime is 132875394037. The next prime is 132875394107. The reversal of 132875394048 is 840493578231.

It is a happy number.

132875394048 is a `hidden beast` number, since 1 + 3 + 28 + 7 + 539 + 40 + 48 = 666.

132875394048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1328753940482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132875393985 and 132875394003.

It is a congruent number.

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, 204315 + ... + 554522.

Almost surely, 2132875394048 is an apocalyptic number.

132875394048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132875394048 is an abundant number, since it is smaller than the sum of its proper divisors (270993366312).

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

132875394048 is a wasteful number, since it uses less digits than its factorization.

132875394048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758882 (or 758861 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 132875394048 in words is "one hundred thirty-two billion, eight hundred seventy-five million, three hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2304 2432 2736 3072 3648 4608 4864 5472 7296 9216 9728 10944 14592 19456 21888 29184 43776 58368 87552 175104 758837 1517674 2276511 3035348 4553022 6070696 6829533 9106044 12141392 13659066 14417903 18212088 24282784 27318132 28835806 36424176 43253709 48565568 54636264 57671612 72848352 86507418 97131136 109272528 115343224 129761127 145696704 173014836 194262272 218545056 230686448 259522254 291393408 346029672 388524544 437090112 461372896 519044508 582786816 692059344 777049088 874180224 922745792 1038089016 1165573632 1384118688 1748360448 1845491584 2076178032 2331147264 2768237376 3496720896 3690983168 4152356064 5536474752 6993441792 7381966336 8304712128 11072949504 14763932672 16609424256 22145899008 33218848512 44291798016 66437697024 132875394048