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12969565456 = 247124012
BaseRepresentation
bin11000001010000101…
…11101110100010000
31020110212112012010011
430011002331310100
5203030202043311
65542542444304
7636253326121
oct140502756420
936425465104
1012969565456
115555a88541
12261b593694
1312b8ca6cb3
148b06c6048
1550d93e321
hex3050bdd10

12969565456 has 45 divisors (see below), whose sum is σ = 25551159109. Its totient is φ = 6377504000.

The previous prime is 12969565379. The next prime is 12969565459. The reversal of 12969565456 is 65456596921.

The square root of 12969565456 is 113884.

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., 12840515856 + 129049600 = 113316^2 + 11360^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12969565456.

It is not an unprimeable number, because it can be changed into a prime (12969565459) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32342856 + ... + 32343256.

Almost surely, 212969565456 is an apocalyptic number.

12969565456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12969565456 is the 113884-th square number.

It is an amenable number.

12969565456 is a deficient number, since it is larger than the sum of its proper divisors (12581593653).

12969565456 is an frugal number, since it uses more digits than its factorization.

12969565456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 474 counting only the distinct ones).

The product of its digits is 17496000, while the sum is 58.

The spelling of 12969565456 in words is "twelve billion, nine hundred sixty-nine million, five hundred sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 71 142 284 401 568 802 1136 1604 3208 5041 6416 10082 20164 28471 40328 56942 80656 113884 160801 227768 321602 455536 643204 1286408 2021441 2572816 4042882 8085764 11416871 16171528 22833742 32343056 45667484 91334968 182669936 810597841 1621195682 3242391364 6484782728 12969565456