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13825526724 = 2232195972
BaseRepresentation
bin11001110000001000…
…01100101111000100
31022200112011112020100
430320010030233010
5211303313323344
610203521004100
7666416016042
oct147004145704
938615145210
1013825526724
115955170949
12281a183630
1313c4421759
1495225b392
1555db6c569
hex33810cbc4

13825526724 has 27 divisors (see below), whose sum is σ = 34949642637. Its totient is φ = 4608273744.

The previous prime is 13825526707. The next prime is 13825526747. The reversal of 13825526724 is 42762552831.

The square root of 13825526724 is 117582.

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

13825526724 is a `hidden beast` number, since 1 + 38 + 2 + 552 + 67 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5318784900 + 8506741824 = 72930^2 + 92232^2 .

It is a super-2 number, since 2×138255267242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13825526724.

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, 695694 + ... + 715290.

Almost surely, 213825526724 is an apocalyptic number.

13825526724 is the 117582-nd square number.

It is an amenable number.

13825526724 is an abundant number, since it is smaller than the sum of its proper divisors (21124115913).

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

13825526724 is an frugal number, since it uses more digits than its factorization.

13825526724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39204 (or 19602 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 13825526724 in words is "thirteen billion, eight hundred twenty-five million, five hundred twenty-six thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 19597 39194 58791 78388 117582 176373 235164 352746 705492 384042409 768084818 1152127227 1536169636 2304254454 3456381681 4608508908 6912763362 13825526724