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10799516190 = 2352931212917
BaseRepresentation
bin10100000111011001…
…11000101000011110
31000212122012021011010
422003230320220132
5134104134004230
64543343040050
7531423241641
oct120354705036
930778167133
1010799516190
1146420553a1
1221148a0026
131031531088
14746403a58
1543318b9b0
hex283b38a1e

10799516190 has 96 divisors (see below), whose sum is σ = 27707559840. Its totient is φ = 2690661120.

The previous prime is 10799516093. The next prime is 10799516197. The reversal of 10799516190 is 9161599701.

It is a happy number.

It is a super-2 number, since 2×107995161902 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10799516197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 829612 + ... + 842528.

It is an arithmetic number, because the mean of its divisors is an integer number (288620415).

Almost surely, 210799516190 is an apocalyptic number.

10799516190 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 10799516190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13853779920).

10799516190 is an abundant number, since it is smaller than the sum of its proper divisors (16908043650).

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

10799516190 is a wasteful number, since it uses less digits than its factorization.

10799516190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13018 (or 12987 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 48.

The spelling of 10799516190 in words is "ten billion, seven hundred ninety-nine million, five hundred sixteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 31 58 62 87 93 145 155 174 186 290 310 435 465 870 899 930 961 1798 1922 2697 2883 4495 4805 5394 5766 8990 9610 12917 13485 14415 25834 26970 27869 28830 38751 55738 64585 77502 83607 129170 139345 167214 193755 278690 374593 387510 400427 418035 749186 800854 836070 1123779 1201281 1872965 2002135 2247558 2402562 3745930 4004270 5618895 6006405 11237790 11612383 12012810 12413237 23224766 24826474 34837149 37239711 58061915 62066185 69674298 74479422 116123830 124132370 174185745 186198555 348371490 359983873 372397110 719967746 1079951619 1799919365 2159903238 3599838730 5399758095 10799516190