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56456023040508 = 223713212641314603
BaseRepresentation
bin11001101011000101100010…
…01100101110000111111100
321101220010212022111111222010
430311202301030232013330
524344433413344244013
6320023312224451220
714614545611006040
oct1465426114560774
9241803768444863
1056456023040508
1116a96957223413
1263b967ba79b10
132566a1ac35c00
14dd26b3bb6020
1567d83da207c3
hex3358b132e1fc

56456023040508 has 144 divisors (see below), whose sum is σ = 163034356697856. Its totient is φ = 14888275384320.

The previous prime is 56456023040441. The next prime is 56456023040513. The reversal of 56456023040508 is 80504032065465.

It is a super-2 number, since 2×564560230405082 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179294335 + ... + 179608937.

It is an arithmetic number, because the mean of its divisors is an integer number (1132183032624).

Almost surely, 256456023040508 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 56456023040508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81517178348928).

56456023040508 is an abundant number, since it is smaller than the sum of its proper divisors (106578333657348).

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

56456023040508 is a wasteful number, since it uses less digits than its factorization.

56456023040508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327284 (or 327269 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 56456023040508 in words is "fifty-six trillion, four hundred fifty-six billion, twenty-three million, forty thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 3549 4732 7098 12641 14196 25282 37923 50564 75846 88487 151692 164333 176974 265461 314603 328666 353948 492999 530922 629206 657332 943809 985998 1061844 1150331 1258412 1887618 1971996 2136329 2202221 2300662 3450993 3775236 4089839 4272658 4404442 4601324 6408987 6606663 6901986 8179678 8545316 8808884 12269517 12817974 13213326 13803972 14954303 16359356 24539034 25635948 26426652 28628873 29908606 44862909 49078068 53167907 57257746 59817212 85886619 89725818 106335814 114515492 159503721 171773238 179451636 212671628 319007442 343546476 372175349 638014884 744350698 1116526047 1488701396 2233052094 3976896523 4466104188 7953793046 11930689569 15907586092 23861379138 27838275661 47722758276 51699654799 55676551322 83514826983 103399309598 111353102644 155098964397 167029653966 206798619196 310197928794 334059307932 361897583593 620395857588 672095512387 723795167186 1085692750779 1344191024774 1447590334372 2016286537161 2171385501558 2688382049548 4032573074322 4342771003116 4704668586709 8065146148644 9409337173418 14114005760127 18818674346836 28228011520254 56456023040508