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5072656356 = 2232314999109
BaseRepresentation
bin1001011100101101…
…01001011111100100
3111002112002122100100
410232112221133210
540342100000411
62155204344100
7236463603405
oct45626513744
914075078310
105072656356
112173422889
12b969a5030
1362ac1a511
143619b59ac
151ea509456
hex12e5a97e4

5072656356 has 72 divisors (see below), whose sum is σ = 13264160000. Its totient is φ = 1632882240.

The previous prime is 5072656343. The next prime is 5072656357. The reversal of 5072656356 is 6536562705.

5072656356 is a `hidden beast` number, since 5 + 0 + 7 + 2 + 6 + 5 + 635 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (5072656357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552330 + ... + 561438.

Almost surely, 25072656356 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 5072656356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632080000).

5072656356 is an abundant number, since it is smaller than the sum of its proper divisors (8191503644).

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

5072656356 is a wasteful number, since it uses less digits than its factorization.

5072656356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9649 (or 9644 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The square root of 5072656356 is about 71222.5831881995. The cubic root of 5072656356 is about 1718.2188561032.

The spelling of 5072656356 in words is "five billion, seventy-two million, six hundred fifty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 499 558 998 1116 1497 1996 2994 4491 5988 8982 9109 15469 17964 18218 27327 30938 36436 46407 54654 61876 81981 92814 109308 139221 163962 185628 278442 282379 327924 556884 564758 847137 1129516 1694274 2541411 3388548 4545391 5082822 9090782 10165644 13636173 18181564 27272346 40908519 54544692 81817038 140907121 163634076 281814242 422721363 563628484 845442726 1268164089 1690885452 2536328178 5072656356