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10168590860 = 2253123779181
BaseRepresentation
bin10010111100001100…
…00110001000001100
3222020122222221022022
421132012012020030
5131311124401420
64401004105312
7506662411331
oct113606061014
928218887268
1010168590860
1143489a48aa
121b79535238
13c608c828c
146c66ca988
153e7ab0c25
hex25e18620c

10168590860 has 144 divisors (see below), whose sum is σ = 23075095680. Its totient is φ = 3760473600.

The previous prime is 10168590833. The next prime is 10168590947. The reversal of 10168590860 is 6809586101.

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, 56179970 + ... + 56180150.

It is an arithmetic number, because the mean of its divisors is an integer number (160243720).

Almost surely, 210168590860 is an apocalyptic number.

10168590860 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 10168590860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11537547840).

10168590860 is an abundant number, since it is smaller than the sum of its proper divisors (12906504820).

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

10168590860 is a wasteful number, since it uses less digits than its factorization.

10168590860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The spelling of 10168590860 in words is "ten billion, one hundred sixty-eight million, five hundred ninety thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 31 37 62 74 79 124 148 155 158 181 185 310 316 362 370 395 620 724 740 790 905 961 1147 1580 1810 1922 2294 2449 2923 3620 3844 4588 4805 4898 5611 5735 5846 6697 9610 9796 11222 11470 11692 12245 13394 14299 14615 19220 22444 22940 24490 26788 28055 28598 29230 33485 35557 48980 56110 57196 58460 66970 71114 71495 75919 90613 112220 133940 142228 142990 151838 173941 177785 181226 207607 285980 303676 347882 355570 362452 379595 415214 443269 453065 529063 695764 711140 759190 830428 869705 886538 906130 1038035 1058126 1518380 1739410 1773076 1812260 2076070 2116252 2216345 2645315 2809003 3478820 4152140 4432690 5290630 5618006 6435817 8865380 10581260 11236012 12871634 13741339 14045015 16400953 25743268 27482678 28090030 32179085 32801906 54965356 56180060 64358170 65603812 68706695 82004765 128716340 137413390 164009530 274826780 328019060 508429543 1016859086 2033718172 2542147715 5084295430 10168590860