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809714657312 = 25112144612
BaseRepresentation
bin10111100100001101100…
…00010010100000100000
32212102000101222110112022
423302012300102200200
5101231243423013222
61415551111121012
7112333325012051
oct13620660224040
92772011873468
10809714657312
112924418a6600
12110b17973168
135b4817cb702
142b29464c728
15160e10d9042
hexbc86c12820

809714657312 has 54 divisors (see below), whose sum is σ = 1752342022557. Its totient is φ = 368026665600.

The previous prime is 809714657293. The next prime is 809714657321. The reversal of 809714657312 is 213756417908.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 580162515856 + 229552141456 = 761684^2 + 479116^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=636284.

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, 55985762 + ... + 56000222.

It is a 1-persistent number, because it is pandigital, but 2⋅809714657312 = 1619429314624 is not.

Almost surely, 2809714657312 is an apocalyptic number.

It is an amenable number.

809714657312 is an abundant number, since it is smaller than the sum of its proper divisors (942627365245).

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

809714657312 is an frugal number, since it uses more digits than its factorization.

809714657312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28954 (or 14474 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 809714657312 in words is "eight hundred nine billion, seven hundred fourteen million, six hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 14461 28922 57844 115688 159071 231376 318142 462752 636284 1272568 1749781 2545136 3499562 5090272 6999124 13998248 27996496 55992992 209120521 418241042 836482084 1672964168 2300325731 3345928336 4600651462 6691856672 9201302924 18402605848 25303583041 36805211696 50607166082 73610423392 101214332164 202428664328 404857328656 809714657312