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5000752656 = 2432712832
BaseRepresentation
bin1001010100001000…
…10110111000010000
3110220111210120000100
410222010112320100
540220143041111
62144115252400
7234631460544
oct45204267020
913814716010
105000752656
112136881539
12b768aa100
13619063353
14356219a24
151e4054756
hex12a116e10

5000752656 has 135 divisors (see below), whose sum is σ = 14368138447. Its totient is φ = 1623639360.

The previous prime is 5000752637. The next prime is 5000752697. The reversal of 5000752656 is 6562570005.

The square root of 5000752656 is 70716.

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

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5000752656.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60249991 + ... + 60250073.

Almost surely, 25000752656 is an apocalyptic number.

5000752656 is the 70716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5000752656

5000752656 is an abundant number, since it is smaller than the sum of its proper divisors (9367385791).

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

5000752656 is an equidigital number, since it uses as much as digits as its factorization.

5000752656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The cubic root of 5000752656 is about 1710.0617439489.

Multiplying 5000752656 by its sum of digits (36), we get a square (180027095616 = 4242962).

5000752656 divided by its sum of digits (36) gives a square (138909796 = 117862).

The spelling of 5000752656 in words is "five billion, seven hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 83 142 144 166 213 249 284 332 426 498 568 639 664 747 852 996 1136 1278 1328 1494 1704 1992 2556 2988 3408 3984 5041 5112 5893 5976 6889 10082 10224 11786 11952 13778 15123 17679 20164 20667 23572 27556 30246 35358 40328 41334 45369 47144 53037 55112 60492 62001 70716 80656 82668 90738 94288 106074 110224 120984 124002 141432 165336 181476 212148 241968 248004 282864 330672 362952 418403 424296 489119 496008 725904 836806 848592 978238 992016 1255209 1467357 1673612 1956476 2510418 2934714 3347224 3765627 3912952 4402071 5020836 5869428 6694448 7531254 7825904 8804142 10041672 11738856 15062508 17608284 20083344 23477712 30125016 34727449 35216568 60250032 69454898 70433136 104182347 138909796 208364694 277819592 312547041 416729388 555639184 625094082 833458776 1250188164 1666917552 2500376328 5000752656