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56991451041 = 34753109127137
BaseRepresentation
bin110101000100111101…
…001000011110100001
312110002211110200110000
4311010331020132201
51413204302413131
642103112330213
74055205224640
oct650475103641
9173084420400
1056991451041
1122196208768
12b0663a3969
1354b33716c5
142a890a3357
151738570ce6
hexd44f487a1

56991451041 has 160 divisors (see below), whose sum is σ = 101566586880. Its totient is φ = 31180391424.

The previous prime is 56991450991. The next prime is 56991451051. The reversal of 56991451041 is 14015419965.

56991451041 is a `hidden beast` number, since 5 + 6 + 9 + 91 + 4 + 510 + 41 = 666.

It is not a de Polignac number, because 56991451041 - 210 = 56991450017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56991451051) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 415995925 + ... + 415996061.

It is an arithmetic number, because the mean of its divisors is an integer number (634791168).

Almost surely, 256991451041 is an apocalyptic number.

It is an amenable number.

56991451041 is a deficient number, since it is larger than the sum of its proper divisors (44575135839).

56991451041 is a wasteful number, since it uses less digits than its factorization.

56991451041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 56991451041 in words is "fifty-six billion, nine hundred ninety-one million, four hundred fifty-one thousand, forty-one".

Divisors: 1 3 7 9 21 27 53 63 81 109 127 137 159 189 327 371 381 411 477 567 763 889 959 981 1113 1143 1233 1431 2289 2667 2877 2943 3339 3429 3699 4293 5777 6731 6867 7261 8001 8631 8829 10017 10287 11097 13843 14933 17331 17399 20193 20601 21783 24003 25893 30051 40439 41529 44799 47117 50827 51993 52197 60579 61803 65349 72009 77679 96901 104531 121317 121793 124587 134397 141351 152481 155979 156591 181737 196047 290703 313593 363951 365379 373761 403191 424053 457443 467937 469773 545211 588141 733679 791449 872109 922147 940779 1091853 1096137 1121283 1209573 1272159 1372329 1409319 1896491 2201037 2374347 2616327 2766441 2822337 3275559 3288411 3816477 4116987 5135753 5540143 5689473 6455029 6603111 7123041 7848981 8299323 8467011 9865233 13275437 15407259 16620429 17068419 19365087 19809333 21369123 24897969 39826311 46221777 49861287 51205257 58095261 59427999 64107369 74693907 100514023 119478933 138665331 149583861 153615771 174285783 301542069 358436799 415995993 448751583 522857349 703598161 904626207 1075310397 2110794483 2713878621 6332383449 8141635863 18997150347 56991451041