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12975943744 = 262924912
BaseRepresentation
bin11000001010110110…
…10011000001000000
31020111022112020111001
430011123103001000
5203033320144434
65543331301344
7636361462531
oct140533230100
936438466431
1012975943744
115559644655
12262174a854
1312ba3cb22a
148b14a6688
1550e29e114
hex3056d3040

12975943744 has 63 divisors (see below), whose sum is σ = 26722080541. Its totient is φ = 6251490560.

The previous prime is 12975943727. The next prime is 12975943759. The reversal of 12975943744 is 44734957921.

The square root of 12975943744 is 113912.

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., 6804270144 + 6171673600 = 82488^2 + 78560^2 .

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, 26427339 + ... + 26427829.

Almost surely, 212975943744 is an apocalyptic number.

12975943744 is the 113912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12975943744

12975943744 is an abundant number, since it is smaller than the sum of its proper divisors (13746136797).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12975943744 is an frugal number, since it uses more digits than its factorization.

12975943744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 522 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 55.

The spelling of 12975943744 in words is "twelve billion, nine hundred seventy-five million, nine hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 491 841 928 982 1682 1856 1964 3364 3928 6728 7856 13456 14239 15712 26912 28478 31424 53824 56956 113912 227824 241081 412931 455648 482162 825862 911296 964324 1651724 1928648 3303448 3857296 6606896 6991349 7714592 13213792 13982698 15429184 26427584 27965396 55930792 111861584 202749121 223723168 405498242 447446336 810996484 1621992968 3243985936 6487971872 12975943744