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10137469225 = 5213215492
BaseRepresentation
bin10010111000011110…
…11000000100101001
3222011111102210110011
421130033120010221
5131230143003400
64353533051521
7506134031602
oct113417300451
928144383404
1010137469225
114332378744
121b6b026ba1
13c5731c900
146c2508da9
153e4eb48ba
hex25c3d8129

10137469225 has 27 divisors (see below), whose sum is σ = 13620595023. Its totient is φ = 7481298240.

The previous prime is 10137469219. The next prime is 10137469271. The reversal of 10137469225 is 52296473101.

It is a happy number.

The square root of 10137469225 is 100685.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10058685849 + 78783376 = 100293^2 + 8876^2 .

It is not a de Polignac number, because 10137469225 - 23 = 10137469217 is a prime.

It is a Duffinian number.

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, 6543751 + ... + 6545299.

Almost surely, 210137469225 is an apocalyptic number.

10137469225 is the 100685-th square number.

10137469225 is the 50343-rd centered octagonal number.

It is an amenable number.

10137469225 is a deficient number, since it is larger than the sum of its proper divisors (3483125798).

10137469225 is an frugal number, since it uses more digits than its factorization.

10137469225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 10137469225 in words is "ten billion, one hundred thirty-seven million, four hundred sixty-nine thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 1549 4225 7745 20137 38725 100685 261781 503425 1308905 2399401 6544525 11997005 31192213 59985025 155961065 405498769 779805325 2027493845 10137469225