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9137094512 = 24713371523
BaseRepresentation
bin10001000001001110…
…01111111101110000
3212120210001111022212
420200213033331300
5122203044011022
64110355351252
7442266010340
oct104047177560
925523044285
109137094512
113969719387
12192bbb2528
13b27cb1000
14629700d20
1538725c3e2
hex2209cff70

9137094512 has 160 divisors (see below), whose sum is σ = 22268574720. Its totient is φ = 3556949760.

The previous prime is 9137094457. The next prime is 9137094557. The reversal of 9137094512 is 2154907319.

9137094512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×91370945122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9137094512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17470283 + ... + 17470805.

It is an arithmetic number, because the mean of its divisors is an integer number (139178592).

Almost surely, 29137094512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9137094512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11134287360).

9137094512 is an abundant number, since it is smaller than the sum of its proper divisors (13131480208).

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

9137094512 is a wasteful number, since it uses less digits than its factorization.

9137094512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 9137094512 is about 95588.1504790212. The cubic root of 9137094512 is about 2090.5924247177.

The spelling of 9137094512 in words is "nine billion, one hundred thirty-seven million, ninety-four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 71 91 104 112 142 169 182 208 284 338 364 497 523 568 676 728 923 994 1046 1136 1183 1352 1456 1846 1988 2092 2197 2366 2704 3661 3692 3976 4184 4394 4732 6461 6799 7322 7384 7952 8368 8788 9464 11999 12922 13598 14644 14768 15379 17576 18928 23998 25844 27196 29288 30758 35152 37133 47593 47996 51688 54392 58576 61516 74266 83993 88387 95186 95992 103376 108784 123032 148532 155987 167986 176774 190372 191984 246064 259931 297064 311974 335972 353548 380744 482729 519862 594128 618709 623948 671944 707096 761488 965458 1039724 1091909 1149031 1237418 1247896 1343888 1414192 1930916 2079448 2183818 2298062 2474836 2495792 3379103 3861832 4158896 4367636 4596124 4949672 6275477 6758206 7723664 8043217 8735272 9192248 9899344 12550954 13516412 16086434 17470544 18384496 25101908 27032824 32172868 43928339 50203816 54065648 64345736 81581201 87856678 100407632 128691472 163162402 175713356 326324804 351426712 571068407 652649608 702853424 1142136814 1305299216 2284273628 4568547256 9137094512