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12032196736 = 27715538647
BaseRepresentation
bin10110011010010110…
…01100000010000000
31011001112200220222011
423031023030002000
5144120220243421
65305535422304
7604111661530
oct131513140200
934045626864
1012032196736
11511495254a
1223b9684994
131199a28651
14821ddd4c0
154a64d04e1
hex2cd2cc080

12032196736 has 64 divisors (see below), whose sum is σ = 27415543680. Its totient is φ = 5152739328.

The previous prime is 12032196713. The next prime is 12032196739. The reversal of 12032196736 is 63769123021.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12032196739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1387165 + ... + 1395811.

It is an arithmetic number, because the mean of its divisors is an integer number (428367870).

Almost surely, 212032196736 is an apocalyptic number.

12032196736 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 12032196736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13707771840).

12032196736 is an abundant number, since it is smaller than the sum of its proper divisors (15383346944).

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

12032196736 is an equidigital number, since it uses as much as digits as its factorization.

12032196736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10221 (or 10209 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 12032196736 in words is "twelve billion, thirty-two million, one hundred ninety-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1553 3106 6212 8647 10871 12424 17294 21742 24848 34588 43484 49696 60529 69176 86968 99392 121058 138352 173936 198784 242116 276704 347872 484232 553408 695744 968464 1106816 1391488 1936928 3873856 7747712 13428791 26857582 53715164 94001537 107430328 188003074 214860656 376006148 429721312 752012296 859442624 1504024592 1718885248 3008049184 6016098368 12032196736