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10169966664 = 23341113109751
BaseRepresentation
bin10010111100010110…
…10110000001001000
3222020202120211120000
421132023112001020
5131312002413124
64401053403000
7510010201404
oct113613260110
928222524500
1010169966664
114349754530
121b79a99460
13c60c8a570
146c6968104
153e7c836c9
hex25e2d6048

10169966664 has 160 divisors (see below), whose sum is σ = 33465579840. Its totient is φ = 2844720000.

The previous prime is 10169966617. The next prime is 10169966669. The reversal of 10169966664 is 46666996101.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10169966664.

It is not an unprimeable number, because it can be changed into a prime (10169966669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37789 + ... + 147539.

It is an arithmetic number, because the mean of its divisors is an integer number (209159874).

Almost surely, 210169966664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10169966664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16732789920).

10169966664 is an abundant number, since it is smaller than the sum of its proper divisors (23295613176).

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

10169966664 is a wasteful number, since it uses less digits than its factorization.

10169966664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109793 (or 109780 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 10169966664 in words is "ten billion, one hundred sixty-nine million, nine hundred sixty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 132 143 156 162 198 216 234 264 286 297 312 324 351 396 429 468 572 594 648 702 792 858 891 936 1053 1144 1188 1287 1404 1716 1782 2106 2376 2574 2808 3432 3564 3861 4212 5148 7128 7722 8424 10296 11583 15444 23166 30888 46332 92664 109751 219502 329253 439004 658506 878008 987759 1207261 1317012 1426763 1975518 2414522 2634024 2853526 2963277 3621783 3951036 4280289 4829044 5707052 5926554 7243566 7902072 8560578 8889831 9658088 10865349 11414104 11853108 12840867 14487132 15694393 17121156 17779662 21730698 23706216 25681734 28974264 31388786 32596047 34242312 35559324 38522601 43461396 47083179 51363468 62777572 65192094 71118648 77045202 86922792 94166358 97788141 102726936 115567803 125555144 130384188 141249537 154090404 188332716 195576282 231135606 260768376 282499074 308180808 376665432 391152564 423748611 462271212 564998148 782305128 847497222 924542424 1129996296 1271245833 1694994444 2542491666 3389988888 5084983332 10169966664