Search a number
-
+
256205336057 = 111759140916481
BaseRepresentation
bin1110111010011100000…
…1110010110111111001
3220111022101112120220122
43232213001302313321
513144202031223212
6313411001303025
724340002265346
oct3564701626771
9814271476818
10256205336057
1199724262060
12417a2794a75
131b21085c988
14c5869d17cd
1569e79b2272
hex3ba7072df9

256205336057 has 32 divisors (see below), whose sum is σ = 301185475200. Its totient is φ = 215331635200.

The previous prime is 256205336053. The next prime is 256205336083. The reversal of 256205336057 is 750633502652.

It is not a de Polignac number, because 256205336057 - 22 = 256205336053 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 256205335999 and 256205336017.

It is not an unprimeable number, because it can be changed into a prime (256205336053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15537257 + ... + 15553737.

It is an arithmetic number, because the mean of its divisors is an integer number (9412046100).

Almost surely, 2256205336057 is an apocalyptic number.

It is an amenable number.

256205336057 is a deficient number, since it is larger than the sum of its proper divisors (44980139143).

256205336057 is a wasteful number, since it uses less digits than its factorization.

256205336057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17977.

The product of its (nonzero) digits is 1134000, while the sum is 44.

The spelling of 256205336057 in words is "two hundred fifty-six billion, two hundred five million, three hundred thirty-six thousand, fifty-seven".

Divisors: 1 11 17 59 187 649 1003 1409 11033 15499 16481 23953 83131 181291 263483 280177 914441 972379 1413227 3081947 10696169 15545497 16530443 23221729 181834873 255439019 394769393 1370082011 4342463323 15070902121 23291394187 256205336057