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10645080625 = 5441272
BaseRepresentation
bin10011110100111111…
…10000101000110001
31000110212121010101101
421322133300220301
5133300120040000
64520145004401
7524536456324
oct117237605061
930425533341
1010645080625
1145729636a3
122091023701
13100853b29a
1472dac27bb
15424832e6a
hex27a7f0a31

10645080625 has 15 divisors (see below), whose sum is σ = 13305316717. Its totient is φ = 8514001000.

The previous prime is 10645080613. The next prime is 10645080629. The reversal of 10645080625 is 52608054601.

The square root of 10645080625 is 103175.

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

It can be written as a sum of positive squares in 2 ways, for example, as 834574321 + 9810506304 = 28889^2 + 99048^2 .

It is not a de Polignac number, because 10645080625 - 27 = 10645080497 is a prime.

It is a super-2 number, since 2×106450806252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10645080629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2577312 + ... + 2581438.

Almost surely, 210645080625 is an apocalyptic number.

10645080625 is the 103175-th square number.

10645080625 is the 51588-th centered octagonal number.

It is an amenable number.

10645080625 is a deficient number, since it is larger than the sum of its proper divisors (2660236092).

10645080625 is an frugal number, since it uses more digits than its factorization.

10645080625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8274 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

Multiplying 10645080625 by its product of nonzero digits (57600), we get a square (613156644000000 = 247620002).

The spelling of 10645080625 in words is "ten billion, six hundred forty-five million, eighty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 4127 20635 103175 515875 2579375 17032129 85160645 425803225 2129016125 10645080625