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56230625160 = 2332547270709
BaseRepresentation
bin110100010111100110…
…110011111110001000
312101010210211201112200
4310113212303332020
51410130020001120
641455413240200
74030306266453
oct642746637610
9171123751480
1056230625160
11219357a3a46
12aa93633060
1353c1856488
142a1601449a
1516e1885e90
hexd179b3f88

56230625160 has 144 divisors (see below), whose sum is σ = 186723189900. Its totient is φ = 14675586816.

The previous prime is 56230625159. The next prime is 56230625281. The reversal of 56230625160 is 6152603265.

It is a happy number.

56230625160 is a `hidden beast` number, since 5 + 6 + 23 + 0 + 625 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53081395236 + 3149229924 = 230394^2 + 56118^2 .

It is a super-3 number, since 3×562306251603 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 759886 + ... + 830594.

Almost surely, 256230625160 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 56230625160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93361594950).

56230625160 is an abundant number, since it is smaller than the sum of its proper divisors (130492564740).

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

56230625160 is a wasteful number, since it uses less digits than its factorization.

56230625160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70820 (or 70766 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 56230625160 in words is "fifty-six billion, two hundred thirty million, six hundred twenty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2209 2820 3384 4230 4418 5640 6627 8460 8836 11045 13254 16920 17672 19881 22090 26508 33135 39762 44180 53016 66270 70709 79524 88360 99405 132540 141418 159048 198810 212127 265080 282836 353545 397620 424254 565672 636381 707090 795240 848508 1060635 1272762 1414180 1697016 2121270 2545524 2828360 3181905 3323323 4242540 5091048 6363810 6646646 8485080 9969969 12727620 13293292 16616615 19939938 25455240 26586584 29909907 33233230 39879876 49849845 59819814 66466460 79759752 99699690 119639628 132932920 149549535 156196181 199399380 239279256 299099070 312392362 398798760 468588543 598198140 624784724 780980905 937177086 1196396280 1249569448 1405765629 1561961810 1874354172 2342942715 2811531258 3123923620 3748708344 4685885430 5623062516 6247847240 7028828145 9371770860 11246125032 14057656290 18743541720 28115312580 56230625160