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256834947213 = 321312717284807
BaseRepresentation
bin1110111100110010001…
…1100100100010001101
3220112221021021011001100
43233030203210202031
513201444221302323
6313553252133313
724361416013365
oct3571443444215
9815837234040
10256834947213
1199a176a5259
1241939607239
131b2b1125560
14c6064859a5
156a32dcd943
hex3bcc8e488d

256834947213 has 24 divisors (see below), whose sum is σ = 402666887168. Its totient is φ = 156807760032.

The previous prime is 256834947211. The next prime is 256834947221. The reversal of 256834947213 is 312749438652.

256834947213 is a `hidden beast` number, since 2 + 5 + 6 + 83 + 494 + 72 + 1 + 3 = 666.

256834947213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 256834947213 - 21 = 256834947211 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 256834947213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256834947211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8627545 + ... + 8657262.

Almost surely, 2256834947213 is an apocalyptic number.

It is an amenable number.

256834947213 is a deficient number, since it is larger than the sum of its proper divisors (145831939955).

256834947213 is a wasteful number, since it uses less digits than its factorization.

256834947213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17284953 (or 17284950 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 256834947213 in words is "two hundred fifty-six billion, eight hundred thirty-four million, nine hundred forty-seven thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 117 127 381 1143 1651 4953 14859 17284807 51854421 155563263 224702491 674107473 2022322419 2195170489 6585511467 19756534401 28537216357 85611649071 256834947213