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12086565820 = 22571731163819
BaseRepresentation
bin10110100000110101…
…00101101110111100
31011012100000011022221
423100122211232330
5144223130101240
65315201015124
7605342054140
oct132032455674
934170004287
1012086565820
11514260787a
1224139244a4
1311a80835c4
14829313220
154ab16ea4a
hex2d06a5bbc

12086565820 has 96 divisors (see below), whose sum is σ = 31705067520. Its totient is φ = 3774366720.

The previous prime is 12086565793. The next prime is 12086565833. The reversal of 12086565820 is 2856568021.

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, 8130 + ... + 155689.

It is an arithmetic number, because the mean of its divisors is an integer number (330261120).

Almost surely, 212086565820 is an apocalyptic number.

12086565820 is a gapful number since it is divisible by the number (10) 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 12086565820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15852533760).

12086565820 is an abundant number, since it is smaller than the sum of its proper divisors (19618501700).

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

12086565820 is a wasteful number, since it uses less digits than its factorization.

12086565820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163883 (or 163881 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 12086565820 in words is "twelve billion, eighty-six million, five hundred sixty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 31 34 35 62 68 70 85 119 124 140 155 170 217 238 310 340 434 476 527 595 620 868 1054 1085 1190 2108 2170 2380 2635 3689 4340 5270 7378 10540 14756 18445 36890 73780 163819 327638 655276 819095 1146733 1638190 2293466 2784923 3276380 4586932 5078389 5569846 5733665 10156778 11139692 11467330 13924615 19494461 20313556 22934660 25391945 27849230 35548723 38988922 50783890 55698460 71097446 77977844 86332613 97472305 101567780 142194892 172665226 177743615 194944610 345330452 355487230 389889220 431663065 604328291 710974460 863326130 1208656582 1726652260 2417313164 3021641455 6043282910 12086565820