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256835020338 = 232131097585557
BaseRepresentation
bin1110111100110010001…
…1110110011000110010
3220112221021101212100200
43233030203312120302
513201444231122323
6313553253500030
724361416436521
oct3571443663062
9815837355320
10256835020338
1199a17745196
1241939641616
131b2b114c920
14c6064a44b8
156a32de5443
hex3bcc8f6632

256835020338 has 24 divisors (see below), whose sum is σ = 599281714668. Its totient is φ = 79026160032.

The previous prime is 256835020333. The next prime is 256835020339. The reversal of 256835020338 is 833020538652.

256835020338 is a `hidden beast` number, since 2 + 5 + 68 + 350 + 203 + 38 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 235552003569 + 21283016769 = 485337^2 + 145887^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 256835020293 and 256835020302.

It is not an unprimeable number, because it can be changed into a prime (256835020333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 548792545 + ... + 548793012.

Almost surely, 2256835020338 is an apocalyptic number.

256835020338 is an abundant number, since it is smaller than the sum of its proper divisors (342446694330).

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

256835020338 is a wasteful number, since it uses less digits than its factorization.

256835020338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097585578 (or 1097585575 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 256835020338 in words is "two hundred fifty-six billion, eight hundred thirty-five million, twenty thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1097585557 2195171114 3292756671 6585513342 9878270013 14268612241 19756540026 28537224482 42805836723 85611673446 128417510169 256835020338