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16870144368 = 24371113134843
BaseRepresentation
bin11111011011000100…
…11111100101110000
31121112201011010110210
433231202133211300
5234022224104433
611430001424120
71135025601240
oct175542374560
947481133423
1016870144368
117177836180
12332993b040
13178b12855c
14b60759b20
1568b0c6463
hex3ed89f970

16870144368 has 160 divisors (see below), whose sum is σ = 54751352832. Its totient is φ = 4348281600.

The previous prime is 16870144363. The next prime is 16870144391. The reversal of 16870144368 is 86344107861.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16870144363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466755 + ... + 501597.

Almost surely, 216870144368 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 16870144368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27375676416).

16870144368 is an abundant number, since it is smaller than the sum of its proper divisors (37881208464).

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

16870144368 is a wasteful number, since it uses less digits than its factorization.

16870144368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35003 (or 34997 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 16870144368 in words is "sixteen billion, eight hundred seventy million, one hundred forty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 131 132 154 168 176 231 262 264 308 336 393 462 524 528 616 786 917 924 1048 1232 1441 1572 1834 1848 2096 2751 2882 3144 3668 3696 4323 5502 5764 6288 7336 8646 10087 11004 11528 14672 17292 20174 22008 23056 30261 34584 34843 40348 44016 60522 69168 69686 80696 104529 121044 139372 161392 209058 242088 243901 278744 383273 418116 484176 487802 557488 731703 766546 836232 975604 1149819 1463406 1533092 1672464 1951208 2299638 2682911 2926812 3066184 3902416 4564433 4599276 5365822 5853624 6132368 8048733 9128866 9198552 10731644 11707248 13693299 16097466 18257732 18397104 21463288 27386598 31951031 32194932 36515464 42926576 50208763 54773196 63902062 64389864 73030928 95853093 100417526 109546392 127804124 128779728 150626289 191706186 200835052 219092784 255608248 301252578 351461341 383412372 401670104 511216496 602505156 702922682 766824744 803340208 1054384023 1205010312 1405845364 1533649488 2108768046 2410020624 2811690728 4217536092 5623381456 8435072184 16870144368