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56279970756 = 223219220812
BaseRepresentation
bin110100011010100011…
…000011001111000100
312101021020200201222100
4310122203003033010
51410230133031011
641504335032100
74031445600252
oct643243031704
9171236621870
1056279970756
1121960638029
12aaa806b630
1353cbb42a59
142a1c7bb5d2
1516e5d81d56
hexd1a8c33c4

56279970756 has 81 divisors (see below), whose sum is σ = 150217065453. Its totient is φ = 17764081920.

The previous prime is 56279970751. The next prime is 56279970757. The reversal of 56279970756 is 65707997265.

The square root of 56279970756 is 237234.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21325929156 + 34954041600 = 146034^2 + 186960^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56279970693 and 56279970702.

It is not an unprimeable number, because it can be changed into a prime (56279970751) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27043636 + ... + 27045716.

Almost surely, 256279970756 is an apocalyptic number.

56279970756 is the 237234-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56279970756

56279970756 is an abundant number, since it is smaller than the sum of its proper divisors (93937094697).

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

56279970756 is a wasteful number, since it uses less digits than its factorization.

56279970756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 50009400, while the sum is 63.

The spelling of 56279970756 in words is "fifty-six billion, two hundred seventy-nine million, nine hundred seventy thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2081 2166 3249 4162 4332 6243 6498 8324 12486 12996 18729 24972 37458 39539 74916 79078 118617 158156 237234 355851 474468 711702 751241 1423404 1502482 2253723 3004964 4330561 4507446 6761169 8661122 9014892 12991683 13522338 17322244 25983366 27044676 38975049 51966732 77950098 82280659 155900196 164561318 246841977 329122636 493683954 740525931 987367908 1481051862 1563332521 2962103724 3126665042 4689997563 6253330084 9379995126 14069992689 18759990252 28139985378 56279970756