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11682957824 = 29238311953
BaseRepresentation
bin10101110000101101…
…11100101000000000
31010011012112202020122
422320112330220000
5142411314122244
65211142155412
7562341334346
oct127026745000
933135482218
1011682957824
114a557a814a
122320722b68
13114257a9c5
147cb88d996
154859e71ee
hex2b85bca00

11682957824 has 80 divisors (see below), whose sum is σ = 24653547072. Its totient is φ = 5519720448.

The previous prime is 11682957779. The next prime is 11682957833. The reversal of 11682957824 is 42875928611.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 971432 + ... + 983384.

Almost surely, 211682957824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11682957824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12326773536).

11682957824 is an abundant number, since it is smaller than the sum of its proper divisors (12970589248).

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

11682957824 is an equidigital number, since it uses as much as digits as its factorization.

11682957824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12077 (or 12061 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 53.

The spelling of 11682957824 in words is "eleven billion, six hundred eighty-two million, nine hundred fifty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 83 92 128 166 184 256 332 368 512 664 736 1328 1472 1909 2656 2944 3818 5312 5888 7636 10624 11776 11953 15272 21248 23906 30544 42496 47812 61088 95624 122176 191248 244352 274919 382496 488704 549838 764992 977408 992099 1099676 1529984 1984198 2199352 3059968 3968396 4398704 6119936 7936792 8797408 15873584 17594816 22818277 31747168 35189632 45636554 63494336 70379264 91273108 126988672 140758528 182546216 253977344 365092432 507954688 730184864 1460369728 2920739456 5841478912 11682957824