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12492979984 = 24279432
BaseRepresentation
bin10111010001010001…
…11011111100010000
31012020122202010202101
423220220323330100
5201041200324414
65423355530144
7621405402112
oct135050737420
935218663671
1012492979984
115330a63851
122507a59954
13124132c564
148672a73b2
154d1b9da74
hex2e8a3bf10

12492979984 has 15 divisors (see below), whose sum is σ = 24206014983. Its totient is φ = 6246266448.

The previous prime is 12492979963. The next prime is 12492980021. The reversal of 12492979984 is 48997929421.

It is a happy number.

The square root of 12492979984 is 111772.

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

12492979984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 433117 + ... + 461059.

Almost surely, 212492979984 is an apocalyptic number.

12492979984 is the 111772-nd square number.

It is an amenable number.

12492979984 is a deficient number, since it is larger than the sum of its proper divisors (11713034999).

12492979984 is an frugal number, since it uses more digits than its factorization.

12492979984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55894 (or 27945 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 64.

Multiplying 12492979984 by its sum of digits (64), we get a square (799550718976 = 8941762).

The spelling of 12492979984 in words is "twelve billion, four hundred ninety-two million, nine hundred seventy-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 27943 55886 111772 223544 447088 780811249 1561622498 3123244996 6246489992 12492979984