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9945125568 = 26347274061
BaseRepresentation
bin10010100001100011…
…01001001011000000
3221200002111201120000
421100301221023000
5130331423004233
64322502320000
7501310113120
oct112061511300
927602451500
109945125568
114243845044
121b16729000
13c265164b1
146a4b5ac80
153d316dd13
hex250c692c0

9945125568 has 140 divisors (see below), whose sum is σ = 33692086032. Its totient is φ = 2841454080.

The previous prime is 9945125557. The next prime is 9945125573. The reversal of 9945125568 is 8655215499.

9945125568 is a `hidden beast` number, since 9 + 9 + 4 + 51 + 25 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100743 + ... + 173318.

Almost surely, 29945125568 is an apocalyptic number.

It is an amenable number.

9945125568 is an abundant number, since it is smaller than the sum of its proper divisors (23746960464).

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

9945125568 is a wasteful number, since it uses less digits than its factorization.

9945125568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274092 (or 274073 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 54.

The square root of 9945125568 is about 99725.2504032956. The cubic root of 9945125568 is about 2150.4866803787.

The spelling of 9945125568 in words is "nine billion, nine hundred forty-five million, one hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 274061 548122 822183 1096244 1644366 1918427 2192488 2466549 3288732 3836854 4384976 4933098 5755281 6577464 7399647 7673708 8769952 9866196 11510562 13154928 14799294 15347416 17265843 17539904 19732392 22198941 23021124 26309856 29598588 30694832 34531686 39464784 44397882 46042248 51797529 52619712 59197176 61389664 69063372 78929568 88795764 92084496 103595058 118394352 122779328 138126744 155392587 157859136 177591528 184168992 207190116 236788704 276253488 310785174 355183056 368337984 414380232 473577408 552506976 621570348 710366112 828760464 1105013952 1243140696 1420732224 1657520928 2486281392 3315041856 4972562784 9945125568