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16873238016 = 29328941143
BaseRepresentation
bin11111011011011100…
…10010111000000000
31121112220222022011100
433231232102320000
5234024022104031
611430152014400
71135064104515
oct175556227000
947486868140
1016873238016
117179559508
12332a991400
13178b96c70b
14b60d2330c
1568b4d7de6
hex3edb92e00

16873238016 has 120 divisors (see below), whose sum is σ = 49245665040. Its totient is φ = 5561081856.

The previous prime is 16873238003. The next prime is 16873238029. The reversal of 16873238016 is 61083237861.

16873238016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16873238003) and next prime (16873238029).

It is a super-2 number, since 2×168732380162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389541 + ... + 430683.

It is an arithmetic number, because the mean of its divisors is an integer number (410380542).

Almost surely, 216873238016 is an apocalyptic number.

16873238016 is a gapful number since it is divisible by the number (16) 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 16873238016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24622832520).

16873238016 is an abundant number, since it is smaller than the sum of its proper divisors (32372427024).

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

16873238016 is an equidigital number, since it uses as much as digits as its factorization.

16873238016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41256 (or 41237 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16873238016 in words is "sixteen billion, eight hundred seventy-three million, two hundred thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 256 267 288 356 384 512 534 576 712 768 801 1068 1152 1424 1536 1602 2136 2304 2848 3204 4272 4608 5696 6408 8544 11392 12816 17088 22784 25632 34176 41143 45568 51264 68352 82286 102528 123429 136704 164572 205056 246858 329144 370287 410112 493716 658288 740574 987432 1316576 1481148 1974864 2633152 2962296 3661727 3949728 5266304 5924592 7323454 7899456 10532608 10985181 11849184 14646908 15798912 21065216 21970362 23698368 29293816 31597824 32955543 43940724 47396736 58587632 63195648 65911086 87881448 94793472 117175264 131822172 175762896 189586944 234350528 263644344 351525792 468701056 527288688 703051584 937402112 1054577376 1406103168 1874804224 2109154752 2812206336 4218309504 5624412672 8436619008 16873238016