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10717425625 = 544121012
BaseRepresentation
bin10011111101100111…
…01110111111011001
31000122220201122001211
421332303232333121
5133422130110000
64531251343121
7526405420564
oct117663567731
930586648054
1010717425625
1145aa786555
1220b12b1aa1
13101a51b28a
147395554db
1542ad737ba
hex27eceefd9

10717425625 has 45 divisors (see below), whose sum is σ = 13864365889. Its totient is φ = 8282000000.

The previous prime is 10717425613. The next prime is 10717425671. The reversal of 10717425625 is 52652471701.

The square root of 10717425625 is 103525.

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

It can be written as a sum of positive squares in 22 ways, for example, as 9999400009 + 718025616 = 99997^2 + 26796^2 .

It is not a de Polignac number, because 10717425625 - 27 = 10717425497 is a prime.

It is a super-2 number, since 2×107174256252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

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, 106113075 + ... + 106113175.

Almost surely, 210717425625 is an apocalyptic number.

10717425625 is the 103525-th square number.

10717425625 is the 51763-rd centered octagonal number.

It is an amenable number.

10717425625 is a deficient number, since it is larger than the sum of its proper divisors (3146940264).

10717425625 is an frugal number, since it uses more digits than its factorization.

10717425625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 10717425625 in words is "ten billion, seven hundred seventeen million, four hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 41 101 125 205 505 625 1025 1681 2525 4141 5125 8405 10201 12625 20705 25625 42025 51005 63125 103525 169781 210125 255025 418241 517625 848905 1050625 1275125 2091205 2588125 4244525 6375625 10456025 17147881 21222625 52280125 85739405 106113125 261400625 428697025 2143485125 10717425625