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56800603296 = 253467732369
BaseRepresentation
bin110100111001100101…
…000110110010100000
312102121112100121120000
4310321211012302200
51412311423301141
642032134020000
74050400106343
oct647145066240
9172545317500
1056800603296
11220a8506a58
12b0124a7600
135482970148
142a6b9c445a
1517269235b6
hexd39946ca0

56800603296 has 120 divisors (see below), whose sum is σ = 167300913780. Its totient is φ = 18904983552.

The previous prime is 56800603289. The next prime is 56800603331. The reversal of 56800603296 is 69230600865.

It is a happy number.

56800603296 is a `hidden beast` number, since 568 + 0 + 0 + 60 + 3 + 29 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56539328400 + 261274896 = 237780^2 + 16164^2 .

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, 1738600 + ... + 1770968.

Almost surely, 256800603296 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 56800603296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83650456890).

56800603296 is an abundant number, since it is smaller than the sum of its proper divisors (110500310484).

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

56800603296 is a wasteful number, since it uses less digits than its factorization.

56800603296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33068 (or 33051 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 56800603296 in words is "fifty-six billion, eight hundred million, six hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 677 864 1296 1354 2031 2592 2708 4062 5416 6093 8124 10832 12186 16248 18279 21664 24372 32369 32496 36558 48744 54837 64738 64992 73116 97107 97488 109674 129476 146232 194214 194976 219348 258952 291321 292464 388428 438696 517904 582642 584928 776856 873963 877392 1035808 1165284 1553712 1747926 1754784 2330568 2621889 3107424 3495852 4661136 5243778 6991704 9322272 10487556 13983408 20975112 21913813 27966816 41950224 43827626 65741439 83900448 87655252 131482878 175310504 197224317 262965756 350621008 394448634 525931512 591672951 701242016 788897268 1051863024 1183345902 1577794536 1775018853 2103726048 2366691804 3155589072 3550037706 4733383608 6311178144 7100075412 9466767216 14200150824 18933534432 28400301648 56800603296