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12323785890 = 23513419757
BaseRepresentation
bin10110111101000111…
…00000110010100010
31011210212101012002110
423132203200302202
5200214342122030
65354513300150
7614252310633
oct133643406242
934725335073
1012323785890
115254501819
12247b264656
131215270000
1484ca2388a
154c1dcc1b0
hex2de8e0ca2

12323785890 has 160 divisors (see below), whose sum is σ = 33772720320. Its totient is φ = 2870090496.

The previous prime is 12323785889. The next prime is 12323785907. The reversal of 12323785890 is 9858732321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16279392 + ... + 16280148.

It is an arithmetic number, because the mean of its divisors is an integer number (211079502).

Almost surely, 212323785890 is an apocalyptic number.

12323785890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12323785890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16886360160).

12323785890 is an abundant number, since it is smaller than the sum of its proper divisors (21448934430).

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

12323785890 is an equidigital number, since it uses as much as digits as its factorization.

12323785890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 12323785890 in words is "twelve billion, three hundred twenty-three million, seven hundred eighty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 169 190 195 247 285 338 390 494 507 570 741 757 845 1014 1235 1482 1514 1690 2197 2271 2470 2535 3211 3705 3785 4394 4542 5070 6422 6591 7410 7570 9633 9841 10985 11355 13182 14383 16055 19266 19682 21970 22710 28561 28766 29523 32110 32955 41743 43149 48165 49205 57122 59046 65910 71915 83486 85683 86298 96330 98410 125229 127933 142805 143830 147615 171366 186979 208715 215745 250458 255866 285610 295230 373958 383799 417430 428415 431490 542659 560937 626145 639665 767598 856830 934895 1085318 1121874 1252290 1279330 1627977 1663129 1869790 1918995 2430727 2713295 2804685 3255954 3326258 3837990 4861454 4989387 5426590 5609370 7292181 8139885 8315645 9978774 12153635 14584362 16279770 16631290 21620677 24307270 24946935 31599451 36460905 43241354 49893870 63198902 64862031 72921810 94798353 108103385 129724062 157997255 189596706 216206770 315994510 324310155 410792863 473991765 648620310 821585726 947983530 1232378589 2053964315 2464757178 4107928630 6161892945 12323785890