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257028043311 = 32132196820883
BaseRepresentation
bin1110111101100000010…
…0001011001000101111
3220120102201121110002200
43233120010023020233
513202343134341221
6314024350552543
724366252214644
oct3573004131057
9816381543080
10257028043311
119a0066a2206
1241992208753
131b3121332c0
14c623d8bdcb
156a44d22426
hex3bd810b22f

257028043311 has 12 divisors (see below), whose sum is σ = 399821400888. Its totient is φ = 158171103504.

The previous prime is 257028043303. The next prime is 257028043357. The reversal of 257028043311 is 113340820752.

257028043311 is a `hidden beast` number, since 2 + 570 + 2 + 80 + 4 + 3 + 3 + 1 + 1 = 666.

257028043311 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 257028043311 - 23 = 257028043303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257028043711) 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 11 ways as a sum of consecutive naturals, for example, 1098410325 + ... + 1098410558.

It is an arithmetic number, because the mean of its divisors is an integer number (33318450074).

Almost surely, 2257028043311 is an apocalyptic number.

257028043311 is a deficient number, since it is larger than the sum of its proper divisors (142793357577).

257028043311 is a wasteful number, since it uses less digits than its factorization.

257028043311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196820902 (or 2196820899 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 257028043311 in words is "two hundred fifty-seven billion, twenty-eight million, forty-three thousand, three hundred eleven".

Divisors: 1 3 9 13 39 117 2196820883 6590462649 19771387947 28558671479 85676014437 257028043311