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12080258610 = 2357281110133
BaseRepresentation
bin10110100000000101…
…00001111000110010
31011011220010201110120
423100002201320302
5144220021233420
65314413511110
7605234334600
oct132002417062
934156121416
1012080258610
115139a9a102
1224117a2496
1311a6985824
14828550870
154aa825d40
hex2d00a1e32

12080258610 has 96 divisors (see below), whose sum is σ = 33771028032. Its totient is φ = 2757525120.

The previous prime is 12080258563. The next prime is 12080258623. The reversal of 12080258610 is 1685208021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187104 + ... + 1197236.

It is an arithmetic number, because the mean of its divisors is an integer number (351781542).

Almost surely, 212080258610 is an apocalyptic number.

12080258610 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 12080258610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16885514016).

12080258610 is an abundant number, since it is smaller than the sum of its proper divisors (21690769422).

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

12080258610 is a wasteful number, since it uses less digits than its factorization.

12080258610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10968 (or 10961 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 12080258610 in words is "twelve billion, eighty million, two hundred fifty-eight thousand, six hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 811 1470 1622 2433 4055 4866 5677 8110 10133 11354 12165 17031 20266 24330 28385 30399 34062 39739 50665 56770 60798 70931 79478 85155 101330 119217 141862 151995 170310 198695 212793 238434 303990 354655 397390 425586 496517 596085 709310 993034 1063965 1192170 1489551 2127930 2482585 2979102 4965170 7447755 8217863 14895510 16435726 24653589 41089315 49307178 57525041 82178630 115050082 123267945 172575123 246535890 287625205 345150246 402675287 575250410 805350574 862875615 1208025861 1725751230 2013376435 2416051722 4026752870 6040129305 12080258610