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12237669376 = 21034572
BaseRepresentation
bin10110110010110110…
…00000010000000000
31011120212100000102221
423121123000100000
5200030320410001
65342155420424
7612155321242
oct133133002000
934525300387
1012237669376
11520a933149
122456454714
13120047a8aa
14841408092
154b956b1a1
hex2d96c0400

12237669376 has 33 divisors (see below), whose sum is σ = 24470466429. Its totient is φ = 6117064704.

The previous prime is 12237669347. The next prime is 12237669403. The reversal of 12237669376 is 67396673221.

The square root of 12237669376 is 110624.

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., 176358400 + 12061310976 = 13280^2 + 109824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3538240 + ... + 3541696.

Almost surely, 212237669376 is an apocalyptic number.

12237669376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12237669376 is the 110624-th square number.

It is an amenable number.

12237669376 is a deficient number, since it is larger than the sum of its proper divisors (12232797053).

12237669376 is an frugal number, since it uses more digits than its factorization.

12237669376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6934 (or 3459 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 52.

The spelling of 12237669376 in words is "twelve billion, two hundred thirty-seven million, six hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 3457 6914 13828 27656 55312 110624 221248 442496 884992 1769984 3539968 11950849 23901698 47803396 95606792 191213584 382427168 764854336 1529708672 3059417344 6118834688 12237669376