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23164355412 = 223211103156737
BaseRepresentation
bin10101100100101101…
…000000001101010100
32012210100211011211100
4111210231000031110
5334420033333122
614350324310100
71450014525612
oct254455001524
965710734740
1023164355412
119907747090
1245a5842330
1322521461a3
14119a6726b2
15908977aac
hex564b40354

23164355412 has 72 divisors (see below), whose sum is σ = 63940548672. Its totient is φ = 7012569600.

The previous prime is 23164355407. The next prime is 23164355429. The reversal of 23164355412 is 21455346132.

23164355412 is a `hidden beast` number, since 2 + 3 + 1 + 643 + 5 + 5 + 4 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 379908 + ... + 436644.

It is an arithmetic number, because the mean of its divisors is an integer number (888063176).

Almost surely, 223164355412 is an apocalyptic number.

23164355412 is a gapful number since it is divisible by the number (22) 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 23164355412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31970274336).

23164355412 is an abundant number, since it is smaller than the sum of its proper divisors (40776193260).

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

23164355412 is a wasteful number, since it uses less digits than its factorization.

23164355412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57789 (or 57784 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 23164355412 in words is "twenty-three billion, one hundred sixty-four million, three hundred fifty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1031 2062 3093 4124 6186 9279 11341 12372 18558 22682 34023 37116 45364 56737 68046 102069 113474 136092 170211 204138 226948 340422 408276 510633 624107 680844 1021266 1248214 1872321 2042532 2496428 3744642 5616963 7489284 11233926 22467852 58495847 116991694 175487541 233983388 350975082 526462623 643454317 701950164 1052925246 1286908634 1930362951 2105850492 2573817268 3860725902 5791088853 7721451804 11582177706 23164355412