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10456264606625 = 531737132989057
BaseRepresentation
bin1001100000101000100111…
…1100000000001110100001
31101000121110001120210011122
42120022021330000032201
52332303412214403000
634123312555022025
72126303661455315
oct230121174001641
941017401523148
1010456264606625
11337152785a112
12120a5b1a3a915
135ab03838a2b6
1428212ba2db45
15131ed1186085
hex98289f003a1

10456264606625 has 32 divisors (see below), whose sum is σ = 14190464444832. Its totient is φ = 7660169625600.

The previous prime is 10456264606573. The next prime is 10456264606651. The reversal of 10456264606625 is 52660646265401.

It can be written as a sum of positive squares in 16 ways, for example, as 5061496549729 + 5394768056896 = 2249777^2 + 2322664^2 .

It is not a de Polignac number, because 10456264606625 - 26 = 10456264606561 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66415904 + ... + 66573153.

It is an arithmetic number, because the mean of its divisors is an integer number (443452013901).

Almost surely, 210456264606625 is an apocalyptic number.

It is an amenable number.

10456264606625 is a deficient number, since it is larger than the sum of its proper divisors (3734199838207).

10456264606625 is a wasteful number, since it uses less digits than its factorization.

10456264606625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132989126 (or 132989116 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 53.

The spelling of 10456264606625 in words is "ten trillion, four hundred fifty-six billion, two hundred sixty-four million, six hundred six thousand, six hundred twenty-five".

Divisors: 1 5 17 25 37 85 125 185 425 629 925 2125 3145 4625 15725 78625 132989057 664945285 2260813969 3324726425 4920595109 11304069845 16623632125 24602975545 56520349225 83650116853 123014877725 282601746125 418250584265 615074388625 2091252921325 10456264606625