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493634585825 = 52192451712109
BaseRepresentation
bin1110010111011101110…
…10100000010011100001
31202012011020120011112222
413023232322200103201
531041430423221300
61014434514200425
750443503514463
oct7135672402341
91665136504488
10493634585825
11180392944627
127b805283115
133771b45cb04
1419c6ba94133
15cc91db9785
hex72eeea04e1

493634585825 has 36 divisors (see below), whose sum is σ = 646215006780. Its totient is φ = 374009339520.

The previous prime is 493634585813. The next prime is 493634585849. The reversal of 493634585825 is 528585436394.

It can be written as a sum of positive squares in 6 ways, for example, as 9286791424 + 484347794401 = 96368^2 + 695951^2 .

It is not a de Polignac number, because 493634585825 - 216 = 493634520289 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40759871 + ... + 40771979.

It is an arithmetic number, because the mean of its divisors is an integer number (17950416855).

Almost surely, 2493634585825 is an apocalyptic number.

It is an amenable number.

493634585825 is a deficient number, since it is larger than the sum of its proper divisors (152580420955).

493634585825 is a wasteful number, since it uses less digits than its factorization.

493634585825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16674 (or 16650 counting only the distinct ones).

The product of its digits is 124416000, while the sum is 62.

The spelling of 493634585825 in words is "four hundred ninety-three billion, six hundred thirty-four million, five hundred eighty-five thousand, eight hundred twenty-five".

Divisors: 1 5 19 25 95 361 475 1805 4517 9025 12109 22585 60545 85823 112925 230071 302725 429115 1150355 1630637 2145575 4371349 5751775 8153185 21856745 40765925 54696353 109283725 273481765 1039230707 1367408825 5196153535 19745383433 25980767675 98726917165 493634585825