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56824900944 = 24372171421191
BaseRepresentation
bin110100111011000001…
…110010110101010000
312102200020002001122220
4310323001302311100
51412334133312234
642034402501040
74051113455100
oct647301626520
9172606061586
1056824900944
11221101a2159
12b01a664780
1354879c9756
142a70d0b200
151728b22a49
hexd3b072d50

56824900944 has 120 divisors (see below), whose sum is σ = 180809731008. Its totient is φ = 15280634880.

The previous prime is 56824900931. The next prime is 56824900969. The reversal of 56824900944 is 44900942865.

It is a super-2 number, since 2×568249009442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 23 ways as a sum of consecutive naturals, for example, 670612 + ... + 750579.

Almost surely, 256824900944 is an apocalyptic number.

It is an amenable number.

56824900944 is an abundant number, since it is smaller than the sum of its proper divisors (123984830064).

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

56824900944 is a wasteful number, since it uses less digits than its factorization.

56824900944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421233 (or 1421220 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 56824900944 in words is "fifty-six billion, eight hundred twenty-four million, nine hundred thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 588 714 784 816 833 952 1176 1428 1666 1904 2352 2499 2856 3332 4998 5712 6664 9996 13328 19992 39984 1421191 2842382 4263573 5684764 8527146 9948337 11369528 17054292 19896674 22739056 24160247 29845011 34108584 39793348 48320494 59690022 68217168 69638359 72480741 79586696 96640988 119380044 139276718 144961482 159173392 169121729 193281976 208915077 238760088 278553436 289922964 338243458 386563952 417830154 477520176 507365187 557106872 579845928 676486916 835660308 1014730374 1114213744 1159691856 1183852103 1352973832 1671320616 2029460748 2367704206 2705947664 3342641232 3551556309 4058921496 4735408412 7103112618 8117842992 9470816824 14206225236 18941633648 28412450472 56824900944