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23130578328 = 233111331217409
BaseRepresentation
bin10101100010101100…
…001001110110011000
32012201000021010101020
4111202230021312120
5334332412001303
614343120322440
71446124446264
oct254254116630
965630233336
1023130578328
11989a676940
124596473420
13224814ac50
141195d9d0a4
15905a04a53
hex562b09d98

23130578328 has 128 divisors (see below), whose sum is σ = 70127769600. Its totient is φ = 6261350400.

The previous prime is 23130578311. The next prime is 23130578363. The reversal of 23130578328 is 82387503132.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 23130578328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2313 + ... + 215096.

It is an arithmetic number, because the mean of its divisors is an integer number (547873200).

Almost surely, 223130578328 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 23130578328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35063884800).

23130578328 is an abundant number, since it is smaller than the sum of its proper divisors (46997191272).

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

23130578328 is a wasteful number, since it uses less digits than its factorization.

23130578328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217473 (or 217469 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 23130578328 in words is "twenty-three billion, one hundred thirty million, five hundred seventy-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 132 143 156 186 248 264 286 312 341 372 403 429 572 682 744 806 858 1023 1144 1209 1364 1612 1716 2046 2418 2728 3224 3432 4092 4433 4836 8184 8866 9672 13299 17732 26598 35464 53196 106392 217409 434818 652227 869636 1304454 1739272 2391499 2608908 2826317 4782998 5217816 5652634 6739679 7174497 8478951 9565996 11305268 13479358 14348994 16957902 19131992 20219037 22610536 26958716 28697988 31089487 33915804 40438074 53917432 57395976 62178974 67831608 74136469 80876148 87615827 93268461 124357948 148272938 161752296 175231654 186536922 222409407 248715896 262847481 296545876 350463308 373073844 444818814 525694962 593091752 700926616 746147688 889637628 963774097 1051389924 1779275256 1927548194 2102779848 2891322291 3855096388 5782644582 7710192776 11565289164 23130578328