Search a number
-
+
23692737072 = 2431757750321
BaseRepresentation
bin10110000100001100…
…100111101000110000
32021011012001202012110
4112010030213220300
5342010320041242
614515001325320
71466061641124
oct260414475060
967135052173
1023692737072
11a058a29044
124712796840
132307757764
14120a8d5584
1593a04a39c
hex584327a30

23692737072 has 80 divisors (see below), whose sum is σ = 64920210912. Its totient is φ = 7419985920.

The previous prime is 23692737067. The next prime is 23692737073. The reversal of 23692737072 is 27073729632.

It is a super-2 number, since 2×236927370722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (23692737073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445672 + ... + 495992.

Almost surely, 223692737072 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 23692737072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32460105456).

23692737072 is an abundant number, since it is smaller than the sum of its proper divisors (41227473840).

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

23692737072 is a wasteful number, since it uses less digits than its factorization.

23692737072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50926 (or 50920 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 48.

The spelling of 23692737072 in words is "twenty-three billion, six hundred ninety-two million, seven hundred thirty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 577 816 1154 1731 2308 3462 4616 6924 9232 9809 13848 19618 27696 29427 39236 50321 58854 78472 100642 117708 150963 156944 201284 235416 301926 402568 470832 603852 805136 855457 1207704 1710914 2415408 2566371 3421828 5132742 6843656 10265484 13687312 20530968 29035217 41061936 58070434 87105651 116140868 174211302 232281736 348422604 464563472 493598689 696845208 987197378 1393690416 1480796067 1974394756 2961592134 3948789512 5923184268 7897579024 11846368536 23692737072