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13746390025 = 5213121792
BaseRepresentation
bin11001100110101100…
…10100010000001001
31022111000020222002111
430303112110100021
5211123033440100
610152012502321
7664435246564
oct146326242011
938430228074
1013746390025
11591452a315
1227b777a9a1
1313b0c042c4
1494593b4db
15556c396ba
hex333594409

13746390025 has 27 divisors (see below), whose sum is σ = 17273130343. Its totient is φ = 10852197200.

The previous prime is 13746389983. The next prime is 13746390037. The reversal of 13746390025 is 52009364731.

It is a happy number.

The square root of 13746390025 is 117245.

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

It can be written as a sum of positive squares in only one way, i.e., 4948700409 + 8797689616 = 70347^2 + 93796^2 .

It is not a de Polignac number, because 13746390025 - 213 = 13746381833 is a prime.

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 13746390025.

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, 76795386 + ... + 76795564.

Almost surely, 213746390025 is an apocalyptic number.

13746390025 is the 117245-th square number.

13746390025 is the 58623-rd centered octagonal number.

It is an amenable number.

13746390025 is a deficient number, since it is larger than the sum of its proper divisors (3526740318).

13746390025 is an frugal number, since it uses more digits than its factorization.

13746390025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 13746390025 in words is "thirteen billion, seven hundred forty-six million, three hundred ninety thousand, twenty-five".

Divisors: 1 5 25 131 179 655 895 3275 4475 17161 23449 32041 85805 117245 160205 429025 586225 801025 3071819 4197371 15359095 20986855 76795475 104934275 549855601 2749278005 13746390025