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10091613906 = 23411192312959
BaseRepresentation
bin10010110011000000…
…11100111011010010
3222001022011002210000
421121200130323102
5131131423121111
64345214150430
7505036205613
oct113140347322
928038132700
1010091613906
1143094a8990
121b577b2416
13c4a985b9a
146ba3adc0a
153e0e57c56
hex25981ced2

10091613906 has 160 divisors (see below), whose sum is σ = 27097804800. Its totient is φ = 2770938720.

The previous prime is 10091613881. The next prime is 10091613937. The reversal of 10091613906 is 60931619001.

10091613906 is a `hidden beast` number, since 100 + 9 + 161 + 390 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 772255 + ... + 785213.

It is an arithmetic number, because the mean of its divisors is an integer number (169361280).

Almost surely, 210091613906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10091613906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13548902400).

10091613906 is an abundant number, since it is smaller than the sum of its proper divisors (17006190894).

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

10091613906 is a wasteful number, since it uses less digits than its factorization.

10091613906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13026 (or 13017 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 10091613906 in words is "ten billion, ninety-one million, six hundred thirteen thousand, nine hundred six".

Divisors: 1 2 3 6 9 11 18 19 22 23 27 33 38 46 54 57 66 69 81 99 114 138 162 171 198 207 209 253 297 342 414 418 437 506 513 594 621 627 759 874 891 1026 1242 1254 1311 1518 1539 1782 1863 1881 2277 2622 3078 3726 3762 3933 4554 4807 5643 6831 7866 9614 11286 11799 12959 13662 14421 16929 20493 23598 25918 28842 33858 35397 38877 40986 43263 70794 77754 86526 116631 129789 142549 233262 246221 259578 285098 298057 349893 389367 427647 492442 596114 699786 738663 778734 855294 894171 1049679 1282941 1477326 1788342 2099358 2215989 2565882 2682513 2708431 3278627 3848823 4431978 5365026 5416862 5663083 6557254 6647967 7697646 8047539 8125293 9835881 11326166 11546469 13295934 16095078 16250586 16989249 19671762 19943901 23092938 24142617 24375879 29507643 33978498 39887802 48285234 48751758 50967747 59015286 62293913 73127637 88522929 101935494 124587826 146255274 152903241 177045858 186881739 219382911 265568787 305806482 373763478 438765822 458709723 531137574 560645217 917419446 1121290434 1681935651 3363871302 5045806953 10091613906