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23730122916 = 22323122812441
BaseRepresentation
bin10110000110011011…
…001111000010100100
32021020210102010221100
4112012123033002210
5342044402413131
614522414520100
71500024500553
oct260633170244
967223363840
1023730122916
11a078043635
124723206030
132312417466
141211867d9a
1593d4827e6
hex5866cf0a4

23730122916 has 108 divisors (see below), whose sum is σ = 62227937772. Its totient is φ = 7624512000.

The previous prime is 23730122909. The next prime is 23730122917. The reversal of 23730122916 is 61922103732.

It can be written as a sum of positive squares in 2 ways, for example, as 8476884900 + 15253238016 = 92070^2 + 123504^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23730122917) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9720256 + ... + 9722696.

It is an arithmetic number, because the mean of its divisors is an integer number (576184609).

Almost surely, 223730122916 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 23730122916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31113968886).

23730122916 is an abundant number, since it is smaller than the sum of its proper divisors (38497814856).

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

23730122916 is a wasteful number, since it uses less digits than its factorization.

23730122916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 23730122916 in words is "twenty-three billion, seven hundred thirty million, one hundred twenty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 281 372 558 562 843 961 1116 1124 1686 1922 2441 2529 2883 3372 3844 4882 5058 5766 7323 8649 8711 9764 10116 11532 14646 17298 17422 21969 26133 29292 34596 34844 43938 52266 75671 78399 87876 104532 151342 156798 227013 270041 302684 313596 454026 540082 681039 685921 810123 908052 1080164 1362078 1371842 1620246 2057763 2345801 2430369 2724156 2743684 3240492 4115526 4691602 4860738 6173289 7037403 8231052 9383204 9721476 12346578 14074806 21112209 21263551 24693156 28149612 42224418 42527102 63790653 84448836 85054204 127581306 191371959 255162612 382743918 659170081 765487836 1318340162 1977510243 2636680324 3955020486 5932530729 7910040972 11865061458 23730122916