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138017584454160 = 24351733827839327
BaseRepresentation
bin11111011000011010111001…
…000110000001101000010000
3200002200100111202122111221010
4133120122321012001220100
5121042240003110013120
61205312223013530520
741033304256133145
oct3730327106015020
9602610452574833
10138017584454160
113aa81a2434a104
1213590895943a40
135c020052843b8
14261212ddb83cc
1510e524a1827e0
hex7d86b9181a10

138017584454160 has 80 divisors (see below), whose sum is σ = 453022424280576. Its totient is φ = 34639707469824.

The previous prime is 138017584454153. The next prime is 138017584454171. The reversal of 138017584454160 is 61454485710831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1380175844541602 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138017584454160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16913915584 + ... + 16913923743.

Almost surely, 2138017584454160 is an apocalyptic number.

138017584454160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138017584454160 is an abundant number, since it is smaller than the sum of its proper divisors (315004839826416).

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

138017584454160 is a wasteful number, since it uses less digits than its factorization.

138017584454160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33827839360 (or 33827839354 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 138017584454160 in words is "one hundred thirty-eight trillion, seventeen billion, five hundred eighty-four million, four hundred fifty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 33827839327 67655678654 101483517981 135311357308 169139196635 202967035962 270622714616 338278393270 405934071924 507417589905 541245429232 575073268559 676556786540 811868143848 1014835179810 1150146537118 1353113573080 1623736287696 1725219805677 2029670359620 2300293074236 2706227146160 2875366342795 3450439611354 4059340719240 4600586148472 5750732685590 6900879222708 8118681438480 8626099028385 9201172296944 11501465371180 13801758445416 17252198056770 23002930742360 27603516890832 34504396113540 46005861484720 69008792227080 138017584454160