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10464267025 = 524124992
BaseRepresentation
bin10011011111011100…
…00000101100010001
31000000021100211202101
421233232000230101
5132412323021100
64450205320401
7520212542062
oct115756005421
930007324671
1010464267025
11448a895773
122040566101
13ca9c40ca4
14713a96569
15413a1886a
hex26fb80b11

10464267025 has 27 divisors (see below), whose sum is σ = 13326596913. Its totient is φ = 8150865600.

The previous prime is 10464267001. The next prime is 10464267127. The reversal of 10464267025 is 52076246401.

The square root of 10464267025 is 102295.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4404578689 + 6059688336 = 66367^2 + 77844^2 .

It is not a de Polignac number, because 10464267025 - 25 = 10464266993 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, 20970226 + ... + 20970724.

Almost surely, 210464267025 is an apocalyptic number.

10464267025 is the 102295-th square number.

10464267025 is the 51148-th centered octagonal number.

It is an amenable number.

10464267025 is a deficient number, since it is larger than the sum of its proper divisors (2862329888).

10464267025 is an frugal number, since it uses more digits than its factorization.

10464267025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 10464267025 in words is "ten billion, four hundred sixty-four million, two hundred sixty-seven thousand, twenty-five".

Divisors: 1 5 25 41 205 499 1025 1681 2495 8405 12475 20459 42025 102295 249001 511475 838819 1245005 4194095 6225025 10209041 20970475 51045205 255226025 418570681 2092853405 10464267025