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56776766216256 = 2632107899136229
BaseRepresentation
bin11001110100011010111101…
…11110110101100001000000
321110000210202110101001102200
430322031132332311201000
524420212304122410011
6320430515240113200
714646662124012432
oct1472153676654100
9243023673331380
1056776766216256
11170aa9893a8669
12644b874165800
13258b0453b79b8
14100401dbb6652
15686d622ea856
hex33a35efb5840

56776766216256 has 84 divisors (see below), whose sum is σ = 162755450726700. Its totient is φ = 18923832511488.

The previous prime is 56776766216207. The next prime is 56776766216257. The reversal of 56776766216256 is 65261266767765.

56776766216256 is a `hidden beast` number, since 567 + 7 + 6 + 7 + 6 + 6 + 2 + 1 + 6 + 2 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41568450969600 + 15208315246656 = 6447360^2 + 3899784^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (56776766216257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1646350 + ... + 10782578.

Almost surely, 256776766216256 is an apocalyptic number.

It is an amenable number.

56776766216256 is an abundant number, since it is smaller than the sum of its proper divisors (105978684510444).

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

56776766216256 is a wasteful number, since it uses less digits than its factorization.

56776766216256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9147036 (or 9147023 counting only the distinct ones).

The product of its digits is 1600300800, while the sum is 72.

The spelling of 56776766216256 in words is "fifty-six trillion, seven hundred seventy-six billion, seven hundred sixty-six million, two hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 10789 21578 32367 43156 64734 86312 97101 129468 172624 194202 258936 345248 388404 517872 690496 776808 1035744 1553616 2071488 3107232 6214464 9136229 18272458 27408687 36544916 54817374 73089832 82226061 109634748 146179664 164452122 219269496 292359328 328904244 438538992 584718656 657808488 877077984 1315616976 1754155968 2631233952 5262467904 98570774681 197141549362 295712324043 394283098724 591424648086 788566197448 887136972129 1182849296172 1577132394896 1774273944258 2365698592344 3154264789792 3548547888516 4731397184688 6308529579584 7097095777032 9462794369376 14194191554064 18925588738752 28388383108128 56776766216256