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10246500625 = 5440492
BaseRepresentation
bin10011000101011110…
…10011000100010001
3222110002121011102011
421202233103010101
5131441101010000
64412430022521
7511626550444
oct114257230421
928402534364
1010246500625
114388978639
121b9b647a41
13c73aa612a
146d2bab65b
153ee8502ba
hex262bd3111

10246500625 has 15 divisors (see below), whose sum is σ = 12807190231. Its totient is φ = 8195176000.

The previous prime is 10246500623. The next prime is 10246500631. The reversal of 10246500625 is 52600564201.

The square root of 10246500625 is 101225.

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

It can be written as a sum of positive squares in 7 ways, for example, as 9699689169 + 546811456 = 98487^2 + 23384^2 .

It is not a de Polignac number, because 10246500625 - 21 = 10246500623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10246500623) 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, 2528601 + ... + 2532649.

Almost surely, 210246500625 is an apocalyptic number.

10246500625 is the 101225-th square number.

10246500625 is the 50613-rd centered octagonal number.

It is an amenable number.

10246500625 is a deficient number, since it is larger than the sum of its proper divisors (2560689606).

10246500625 is an frugal number, since it uses more digits than its factorization.

10246500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8118 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Multiplying 10246500625 by its product of nonzero digits (14400), we get a square (147549609000000 = 121470002).

The spelling of 10246500625 in words is "ten billion, two hundred forty-six million, five hundred thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 4049 20245 101225 506125 2530625 16394401 81972005 409860025 2049300125 10246500625