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9932481216 = 263272463413
BaseRepresentation
bin10010100000000010…
…11010001011000000
3221122012201022202200
421100001122023000
5130320203344331
64321331313200
7501064461120
oct112001321300
927565638680
109932481216
114237699169
121b1244b800
13c23a0a128
146a31c8c80
153d1ec25e6
hex25005a2c0

9932481216 has 84 divisors (see below), whose sum is σ = 32536772112. Its totient is φ = 2837850624.

The previous prime is 9932481203. The next prime is 9932481233. The reversal of 9932481216 is 6121842399.

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, 1227675 + ... + 1235738.

Almost surely, 29932481216 is an apocalyptic number.

9932481216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9932481216 is an abundant number, since it is smaller than the sum of its proper divisors (22604290896).

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

9932481216 is a wasteful number, since it uses less digits than its factorization.

9932481216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463438 (or 2463425 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 9932481216 is about 99661.8342997960. The cubic root of 9932481216 is about 2149.5749089992.

The spelling of 9932481216 in words is "nine billion, nine hundred thirty-two million, four hundred eighty-one thousand, two hundred sixteen".

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 2463413 4926826 7390239 9853652 14780478 17243891 19707304 22170717 29560956 34487782 39414608 44341434 51731673 59121912 68975564 78829216 88682868 103463346 118243824 137951128 155195019 157658432 177365736 206926692 236487648 275902256 310390038 354731472 413853384 472975296 551804512 620780076 709462944 827706768 1103609024 1241560152 1418925888 1655413536 2483120304 3310827072 4966240608 9932481216