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56555075052 = 223272333592683
BaseRepresentation
bin110100101010111100…
…011111010111101100
312101222102100111010100
4310222330133113230
51411311044400202
641551523311100
74041326130510
oct645274372754
9171872314110
1056555075052
1121a91957a53
12ab6421b490
135443b34c68
142a47150140
1517100c441c
hexd2af1f5ec

56555075052 has 144 divisors (see below), whose sum is σ = 164600916480. Its totient is φ = 16038445824.

The previous prime is 56555075051. The next prime is 56555075069. The reversal of 56555075052 is 25057055565.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 56555074989 and 56555075007.

It is not an unprimeable number, because it can be changed into a prime (56555075051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21077703 + ... + 21080385.

It is an arithmetic number, because the mean of its divisors is an integer number (1143061920).

Almost surely, 256555075052 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 56555075052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82300458240).

56555075052 is an abundant number, since it is smaller than the sum of its proper divisors (108045841428).

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

56555075052 is a wasteful number, since it uses less digits than its factorization.

56555075052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 1312500, while the sum is 45.

The spelling of 56555075052 in words is "fifty-six billion, five hundred fifty-five million, seventy-five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 233 252 359 466 699 718 932 1077 1398 1436 1631 2097 2154 2513 2683 2796 3231 3262 4194 4308 4893 5026 5366 6462 6524 7539 8049 8388 9786 10052 10732 12924 14679 15078 16098 18781 19572 22617 24147 29358 30156 32196 37562 45234 48294 56343 58716 75124 83647 90468 96588 112686 167294 169029 225372 250941 334588 338058 501882 585529 625139 676116 752823 963197 1003764 1171058 1250278 1505646 1756587 1875417 1926394 2342116 2500556 2889591 3011292 3513174 3750834 3852788 4375973 5269761 5626251 5779182 6742379 7026348 7501668 8668773 8751946 10539522 11252502 11558364 13127919 13484758 17337546 17503892 20227137 21079044 22505004 26255838 26969516 34675092 39383757 40454274 52511676 60681411 78767514 80908548 121362822 157535028 224424901 242725644 448849802 673274703 897699604 1346549406 1570974307 2019824109 2693098812 3141948614 4039648218 4712922921 6283897228 8079296436 9425845842 14138768763 18851691684 28277537526 56555075052