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12284561790 = 233550998923
BaseRepresentation
bin10110111000011011…
…11000100101111110
31011201010120101202000
423130031320211332
5200124321434130
65350552443130
7613265023644
oct133415704576
934633511660
1012284561790
115234351106
12246a0a94a6
13120a0b8697
14847733194
154bd730260
hex2dc37897e

12284561790 has 64 divisors (see below), whose sum is σ = 32768928000. Its totient is φ = 3274873632.

The previous prime is 12284561789. The next prime is 12284561831. The reversal of 12284561790 is 9716548221.

12284561790 is a `hidden beast` number, since 1 + 2 + 2 + 84 + 561 + 7 + 9 + 0 = 666.

12284561790 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1372269 + ... + 1381191.

It is an arithmetic number, because the mean of its divisors is an integer number (512014500).

Almost surely, 212284561790 is an apocalyptic number.

12284561790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12284561790 is an abundant number, since it is smaller than the sum of its proper divisors (20484366210).

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

12284561790 is a wasteful number, since it uses less digits than its factorization.

12284561790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14038 (or 14032 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12284561790 in words is "twelve billion, two hundred eighty-four million, five hundred sixty-one thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 5099 8923 10198 15297 17846 25495 26769 30594 44615 45891 50990 53538 76485 80307 89230 91782 133845 137673 152970 160614 229455 240921 267690 275346 401535 458910 481842 688365 803070 1204605 1376730 2409210 45498377 90996754 136495131 227491885 272990262 409485393 454983770 682475655 818970786 1228456179 1364951310 2047426965 2456912358 4094853930 6142280895 12284561790