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10252957968 = 243411719203
BaseRepresentation
bin10011000110001111…
…11011100100010000
3222110112202020020000
421203013323210100
5131444224123333
64413220250000
7512035463511
oct114307734420
928415666200
1010252957968
114391589090
121ba1840900
13c75227346
146d39aca08
154001c8713
hex2631fb910

10252957968 has 100 divisors (see below), whose sum is σ = 32372810448. Its totient is φ = 3106952640.

The previous prime is 10252957951. The next prime is 10252957987. The reversal of 10252957968 is 86975925201.

10252957968 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 2 + 9 + 579 + 68 = 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, 345346 + ... + 373857.

Almost surely, 210252957968 is an apocalyptic number.

10252957968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10252957968 is an abundant number, since it is smaller than the sum of its proper divisors (22119852480).

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

10252957968 is a wasteful number, since it uses less digits than its factorization.

10252957968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719234 (or 719219 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 10252957968 in words is "ten billion, two hundred fifty-two million, nine hundred fifty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 7128 14256 719203 1438406 2157609 2876812 4315218 5753624 6472827 7911233 8630436 11507248 12945654 15822466 17260872 19418481 23733699 25891308 31644932 34521744 38836962 47467398 51782616 58255443 63289864 71201097 77673924 94934796 103565232 116510886 126579728 142402194 155347848 189869592 213603291 233021772 284804388 310695696 379739184 427206582 466043544 569608776 640809873 854413164 932087088 1139217552 1281619746 1708826328 2563239492 3417652656 5126478984 10252957968