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11256084234 = 232171916711593
BaseRepresentation
bin10100111101110101…
…00011011100001010
31002001110022022202200
422132322203130022
5141023024143414
65100532541030
7545636065053
oct123672433412
932043268680
1011256084234
11485684775a
122221781776
1310a4cba495
1478acd172a
1545d2c6109
hex29eea370a

11256084234 has 96 divisors (see below), whose sum is σ = 27346999680. Its totient is φ = 3325142016.

The previous prime is 11256084233. The next prime is 11256084317. The reversal of 11256084234 is 43248065211.

It is a happy number.

11256084234 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 608 + 42 + 3 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (11256084233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 965142 + ... + 976734.

It is an arithmetic number, because the mean of its divisors is an integer number (284864580).

Almost surely, 211256084234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11256084234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13673499840).

11256084234 is an abundant number, since it is smaller than the sum of its proper divisors (16090915446).

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

11256084234 is a wasteful number, since it uses less digits than its factorization.

11256084234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11804 (or 11801 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 11256084234 in words is "eleven billion, two hundred fifty-six million, eighty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 167 171 306 323 334 342 501 646 969 1002 1503 1938 2839 2907 3006 3173 5678 5814 6346 8517 9519 11593 17034 19038 23186 25551 28557 34779 51102 53941 57114 69558 104337 107882 161823 197081 208674 220267 323646 394162 440534 485469 591243 660801 970938 1182486 1321602 1773729 1936031 1982403 3547458 3744539 3872062 3964806 5808093 7489078 11233617 11616186 17424279 22467234 32912527 33700851 34848558 36784589 65825054 67401702 73569178 98737581 110353767 197475162 220707534 296212743 331061301 592425486 625338013 662122602 1250676026 1876014039 3752028078 5628042117 11256084234