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96596332938 = 23275917375109
BaseRepresentation
bin101100111110110010…
…1110001000110001010
3100020022222001010210200
41121331211301012022
53040312130123223
6112213054353030
76656514165630
oct1317545610612
9306288033720
1096596332938
1137a6a125716
1216879abb776
139155601771
144964dbb350
1527a550aa43
hex167d97118a

96596332938 has 96 divisors (see below), whose sum is σ = 244654300800. Its totient is φ = 26973986688.

The previous prime is 96596332913. The next prime is 96596332939. The reversal of 96596332938 is 83923369569.

96596332938 is a `hidden beast` number, since 9 + 6 + 596 + 3 + 3 + 2 + 9 + 38 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (96596332939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248528 + ... + 1323636.

It is an arithmetic number, because the mean of its divisors is an integer number (2548482300).

Almost surely, 296596332938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96596332938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122327150400).

96596332938 is an abundant number, since it is smaller than the sum of its proper divisors (148057967862).

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

96596332938 is a wasteful number, since it uses less digits than its factorization.

96596332938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75356 (or 75353 counting only the distinct ones).

The product of its digits is 56687040, while the sum is 63.

The spelling of 96596332938 in words is "ninety-six billion, five hundred ninety-six million, three hundred thirty-two thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 173 177 346 354 413 519 531 826 1038 1062 1211 1239 1557 2422 2478 3114 3633 3717 7266 7434 10207 10899 20414 21798 30621 61242 71449 75109 91863 142898 150218 183726 214347 225327 428694 450654 525763 643041 675981 1051526 1286082 1351962 1577289 3154578 4431431 4731867 8862862 9463734 12993857 13294293 25987714 26588586 31020017 38981571 39882879 62040034 77963142 79765758 90956999 93060051 116944713 181913998 186120102 233889426 272870997 279180153 545741994 558360306 766637563 818612991 1533275126 1637225982 2299912689 4599825378 5366462941 6899738067 10732925882 13799476134 16099388823 32198777646 48298166469 96596332938