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23812300920 = 2335437164997
BaseRepresentation
bin10110001011010100…
…101110000001111000
32021110112001012222010
4112023110232001320
5342231422112140
614534512125520
71502043134562
oct261324560170
967415035863
1023812300920
11a10a472141
1247468368a0
13232645acb5
14121c73a332
159457b6880
hex58b52e078

23812300920 has 128 divisors (see below), whose sum is σ = 74128919040. Its totient is φ = 6114823680.

The previous prime is 23812300901. The next prime is 23812300973. The reversal of 23812300920 is 2900321832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 333862 + ... + 398858.

It is an arithmetic number, because the mean of its divisors is an integer number (579132180).

Almost surely, 223812300920 is an apocalyptic number.

23812300920 is a gapful number since it is divisible by the number (20) 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 23812300920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37064459520).

23812300920 is an abundant number, since it is smaller than the sum of its proper divisors (50316618120).

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

23812300920 is a wasteful number, since it uses less digits than its factorization.

23812300920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65125 (or 65121 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 23812300920 in words is "twenty-three billion, eight hundred twelve million, three hundred thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 71 86 120 129 142 172 213 215 258 284 344 355 426 430 516 568 645 710 852 860 1032 1065 1290 1420 1704 1720 2130 2580 2840 3053 4260 5160 6106 8520 9159 12212 15265 18318 24424 30530 36636 45795 61060 64997 73272 91590 122120 129994 183180 194991 259988 324985 366360 389982 519976 649970 779964 974955 1299940 1559928 1949910 2599880 2794871 3899820 4614787 5589742 7799640 8384613 9229574 11179484 13844361 13974355 16769226 18459148 22358968 23073935 27688722 27948710 33538452 36918296 41923065 46147870 55377444 55897420 67076904 69221805 83846130 92295740 110754888 111794840 138443610 167692260 184591480 198435841 276887220 335384520 396871682 553774440 595307523 793743364 992179205 1190615046 1587486728 1984358410 2381230092 2976537615 3968716820 4762460184 5953075230 7937433640 11906150460 23812300920