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10389468684 = 22371031916287
BaseRepresentation
bin10011010110100001…
…01011011000001100
3222211001121200201110
421223100223120030
5132234200444214
64434534212020
7515314012110
oct115320533014
928731550643
1010389468684
114451647661
12201b4b4010
13c975b240a
14707b85740
1540c191159
hex26b42b60c

10389468684 has 96 divisors (see below), whose sum is σ = 28125167616. Its totient is φ = 2923744320.

The previous prime is 10389468671. The next prime is 10389468703. The reversal of 10389468684 is 48686498301.

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, 1649389 + ... + 1655675.

It is an arithmetic number, because the mean of its divisors is an integer number (292970496).

Almost surely, 210389468684 is an apocalyptic number.

10389468684 is a gapful number since it is divisible by the number (14) 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 10389468684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14062583808).

10389468684 is an abundant number, since it is smaller than the sum of its proper divisors (17735698932).

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

10389468684 is a wasteful number, since it uses less digits than its factorization.

10389468684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6593 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

It can be divided in two parts, 103894 and 68684, that added together give a triangular number (172578 = T587).

The spelling of 10389468684 in words is "ten billion, three hundred eighty-nine million, four hundred sixty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 191 206 309 382 412 573 618 721 764 1146 1236 1337 1442 2163 2292 2674 2884 4011 4326 5348 6287 8022 8652 12574 16044 18861 19673 25148 37722 39346 44009 59019 75444 78692 88018 118038 132027 137711 176036 236076 264054 275422 413133 528108 550844 647561 826266 1200817 1295122 1652532 1942683 2401634 2590244 3602451 3885366 4532927 4803268 7204902 7770732 8405719 9065854 13598781 14409804 16811438 18131708 25217157 27197562 33622876 50434314 54395124 100868628 123684151 247368302 371052453 494736604 742104906 865789057 1484209812 1731578114 2597367171 3463156228 5194734342 10389468684