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15631250625 = 325416672
BaseRepresentation
bin11101000111011000…
…11111010011000001
31111100100221210202100
432203230133103001
5224003100010000
611103023541013
71062233303154
oct164354372301
944310853670
1015631250625
1166a1484a51
123042a5a769
131621566c33
14a83dc3c9b
15617456a00
hex3a3b1f4c1

15631250625 has 45 divisors (see below), whose sum is σ = 28230995221. Its totient is φ = 8331666000.

The previous prime is 15631250599. The next prime is 15631250669. The reversal of 15631250625 is 52605213651.

The square root of 15631250625 is 125025.

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

15631250625 is a `hidden beast` number, since 1 + 5 + 6 + 3 + 1 + 25 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1225490049 + 14405760576 = 35007^2 + 120024^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 15631250625 - 29 = 15631250113 is a prime.

It is a super-2 number, since 2×156312506252 (a number of 21 digits) contains 22 as substring.

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 15631250625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9376042 + ... + 9377708.

Almost surely, 215631250625 is an apocalyptic number.

15631250625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15631250625 is the 125025-th square number.

15631250625 is the 62513-rd centered octagonal number.

It is an amenable number.

15631250625 is a deficient number, since it is larger than the sum of its proper divisors (12599744596).

15631250625 is an frugal number, since it uses more digits than its factorization.

15631250625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Multiplying 15631250625 by its sum of digits (36), we get a square (562725022500 = 7501502).

It can be divided in two parts, 15631 and 250625, that added together give a square (266256 = 5162).

The spelling of 15631250625 in words is "fifteen billion, six hundred thirty-one million, two hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1667 1875 5001 5625 8335 15003 25005 41675 75015 125025 208375 375075 625125 1041875 1875375 2778889 3125625 8336667 9376875 13894445 25010001 41683335 69472225 125050005 208416675 347361125 625250025 1042083375 1736805625 3126250125 5210416875 15631250625