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23263836232 = 23721331714401
BaseRepresentation
bin10101101010101000…
…011111100001001000
32020001022000022212011
4111222220133201020
5340121020224412
614404240425304
71452333226300
oct255250374110
966038008764
1023263836232
11995891353a
124613018234
132269937590
1411a996a600
159125787a7
hex56aa1f848

23263836232 has 96 divisors (see below), whose sum is σ = 54820636920. Its totient is φ = 9173606400.

The previous prime is 23263836217. The next prime is 23263836259.

It is a happy number.

23263836232 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 18361876036 + 4901960196 = 135506^2 + 70014^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1608232 + ... + 1622632.

Almost surely, 223263836232 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 23263836232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27410318460).

23263836232 is an abundant number, since it is smaller than the sum of its proper divisors (31556800688).

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

23263836232 is a wasteful number, since it uses less digits than its factorization.

23263836232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14751 (or 14740 counting only the distinct ones).

The product of its digits is 373248, while the sum is 40.

The spelling of 23263836232 in words is "twenty-three billion, two hundred sixty-three million, eight hundred thirty-six thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 317 364 392 634 637 728 1268 1274 2219 2536 2548 4121 4438 5096 8242 8876 14401 15533 16484 17752 28802 28847 31066 32968 57604 57694 62132 100807 115208 115388 124264 187213 201614 201929 230776 374426 403228 403858 705649 748852 806456 807716 1310491 1411298 1497704 1615432 2620982 2822596 4565117 5241964 5645192 9130234 9173437 10483928 18260468 18346874 31955819 36520936 36693748 59346521 63911638 73387496 118693042 127823276 223690733 237386084 255646552 415425647 447381466 474772168 830851294 894762932 1661702588 1789525864 2907979529 3323405176 5815959058 11631918116 23263836232