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716000284224 = 2632352572
BaseRepresentation
bin10100110101101001111…
…00010100111001000000
32112110010021212001102100
422122310330110321000
543212332033043344
61304532002550400
7102505103666331
oct12326474247100
92473107761370
10716000284224
11256721548a95
12b6923068400
13526982c2644
142692430c288
1513958b07569
hexa6b4f14e40

716000284224 has 63 divisors (see below), whose sum is σ = 2052343747857. Its totient is φ = 238659992064.

The previous prime is 716000284171. The next prime is 716000284249. The reversal of 716000284224 is 422482000617.

The square root of 716000284224 is 846168.

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

716000284224 is a `hidden beast` number, since 7 + 1 + 600 + 0 + 2 + 8 + 42 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11689934400 + 704310349824 = 108120^2 + 839232^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20290404 + ... + 20325660.

Almost surely, 2716000284224 is an apocalyptic number.

716000284224 is the 846168-th square number.

It is an amenable number.

716000284224 is an abundant number, since it is smaller than the sum of its proper divisors (1336343463633).

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

716000284224 is an frugal number, since it uses more digits than its factorization.

716000284224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70532 (or 35262 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Multiplying 716000284224 by its sum of digits (36), we get a square (25776010232064 = 50770082).

716000284224 divided by its sum of digits (36) gives a square (19888896784 = 1410282).

The spelling of 716000284224 in words is "seven hundred sixteen billion, two hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 35257 70514 105771 141028 211542 282056 317313 423084 564112 634626 846168 1128224 1269252 1692336 2256448 2538504 3384672 5077008 6769344 10154016 20308032 1243056049 2486112098 3729168147 4972224196 7458336294 9944448392 11187504441 14916672588 19888896784 22375008882 29833345176 39777793568 44750017764 59666690352 79555587136 89500035528 119333380704 179000071056 238666761408 358000142112 716000284224