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17199841920 = 273522939119
BaseRepresentation
bin10000000001001100…
…001100001010000000
31122101200112111111020
4100001030030022000
5240211124420140
611522420145440
71146141146502
oct200114141200
948350474436
1017199841920
117326953898
123400238280
131811523771
14b9245dd72
156a9eee6d0
hex40130c280

17199841920 has 128 divisors (see below), whose sum is σ = 55065312000. Its totient is φ = 4566478848.

The previous prime is 17199841909. The next prime is 17199841933. The reversal of 17199841920 is 2914899171.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 420121 + ... + 459239.

It is an arithmetic number, because the mean of its divisors is an integer number (430197750).

Almost surely, 217199841920 is an apocalyptic number.

17199841920 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 17199841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27532656000).

17199841920 is an abundant number, since it is smaller than the sum of its proper divisors (37865470080).

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

17199841920 is a wasteful number, since it uses less digits than its factorization.

17199841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39370 (or 39358 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 51.

The spelling of 17199841920 in words is "seventeen billion, one hundred ninety-nine million, eight hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 229 240 320 384 458 480 640 687 916 960 1145 1374 1832 1920 2290 2748 3435 3664 4580 5496 6870 7328 9160 10992 13740 14656 18320 21984 27480 29312 36640 39119 43968 54960 73280 78238 87936 109920 117357 146560 156476 195595 219840 234714 312952 391190 439680 469428 586785 625904 782380 938856 1173570 1251808 1564760 1877712 2347140 2503616 3129520 3755424 4694280 5007232 6259040 7510848 8958251 9388560 12518080 15021696 17916502 18777120 25036160 26874753 35833004 37554240 44791255 53749506 71666008 75108480 89582510 107499012 134373765 143332016 179165020 214998024 268747530 286664032 358330040 429996048 537495060 573328064 716660080 859992096 1074990120 1146656128 1433320160 1719984192 2149980240 2866640320 3439968384 4299960480 5733280640 8599920960 17199841920