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11323664256 = 27331194819
BaseRepresentation
bin10101000101111000…
…10110011110000000
31002020011110202010110
422202330112132000
5141142324224011
65111345231320
7550416362262
oct124274263600
932204422113
1011323664256
114890a05613
122240332540
1310b5cbc668
14795c83b32
154641c4ba6
hex2a2f16780

11323664256 has 64 divisors (see below), whose sum is σ = 30175516800. Its totient is φ = 3762378240.

The previous prime is 11323664227. The next prime is 11323664263. The reversal of 11323664256 is 65246632311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×113236642562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 72015 + ... + 166833.

It is an arithmetic number, because the mean of its divisors is an integer number (471492450).

Almost surely, 211323664256 is an apocalyptic number.

11323664256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11323664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087758400).

11323664256 is an abundant number, since it is smaller than the sum of its proper divisors (18851852544).

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

11323664256 is an equidigital number, since it uses as much as digits as its factorization.

11323664256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95147 (or 95135 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The spelling of 11323664256 in words is "eleven billion, three hundred twenty-three million, six hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 311 384 622 933 1244 1866 2488 3732 4976 7464 9952 14928 19904 29856 39808 59712 94819 119424 189638 284457 379276 568914 758552 1137828 1517104 2275656 3034208 4551312 6068416 9102624 12136832 18205248 29488709 36410496 58977418 88466127 117954836 176932254 235909672 353864508 471819344 707729016 943638688 1415458032 1887277376 2830916064 3774554752 5661832128 11323664256