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10032644479225 = 526334872
BaseRepresentation
bin1001000111111110100000…
…1101011101100011111001
31022112010000020120121201111
42101333220031131203321
52303333323441313400
633200533325320321
72053556166006154
oct221775015354371
938463006517644
1010032644479225
113218903292475
1211604884060a1
1357a0c7367b14
14269822876c9b
15125e8acd63ba
hex91fe835d8f9

10032644479225 has 9 divisors (see below), whose sum is σ = 12440498792367. Its totient is φ = 8026102913640.

The previous prime is 10032644479219. The next prime is 10032644479261. The reversal of 10032644479225 is 52297444623001.

The square root of 10032644479225 is 3167435.

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

It can be written as a sum of positive squares in only one way, i.e., 3611752012521 + 6420892466704 = 1900461^2 + 2533948^2 .

It is not a de Polignac number, because 10032644479225 - 27 = 10032644479097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15520432 + ... + 16153918.

Almost surely, 210032644479225 is an apocalyptic number.

10032644479225 is the 3167435-th square number.

10032644479225 is the 1583718-th centered octagonal number.

It is an amenable number.

10032644479225 is a deficient number, since it is larger than the sum of its proper divisors (2407854313142).

10032644479225 is an frugal number, since it uses more digits than its factorization.

10032644479225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266984 (or 633492 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

Multiplying 10032644479225 by its sum of digits (49), we get a square (491599579482025 = 221720452).

The spelling of 10032644479225 in words is "ten trillion, thirty-two billion, six hundred forty-four million, four hundred seventy-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 633487 3167435 15837175 401305779169 2006528895845 10032644479225