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93935044992 = 2731132164801
BaseRepresentation
bin101011101111011110…
…1110000100110000000
322222110111100201001110
41113132331300212000
53014334332414432
6111053030003320
76533540464635
oct1273675604600
9288414321043
1093935044992
113692397a698
12162567a6540
138b20150579
14479178418c
15269ba70dcc
hex15def70980

93935044992 has 64 divisors (see below), whose sum is σ = 251723176560. Its totient is φ = 31034572800.

The previous prime is 93935044961. The next prime is 93935045021. The reversal of 93935044992 is 29944053939.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1039009 + ... + 1125792.

Almost surely, 293935044992 is an apocalyptic number.

It is an amenable number.

93935044992 is an abundant number, since it is smaller than the sum of its proper divisors (157788131568).

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

93935044992 is a wasteful number, since it uses less digits than its factorization.

93935044992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164931 (or 2164919 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 57.

The spelling of 93935044992 in words is "ninety-three billion, nine hundred thirty-five million, forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 452 678 904 1356 1808 2712 3616 5424 7232 10848 14464 21696 43392 2164801 4329602 6494403 8659204 12988806 17318408 25977612 34636816 51955224 69273632 103910448 138547264 207820896 244622513 277094528 415641792 489245026 733867539 831283584 978490052 1467735078 1956980104 2935470156 3913960208 5870940312 7827920416 11741880624 15655840832 23483761248 31311681664 46967522496 93935044992