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16839000336 = 24329118110243
BaseRepresentation
bin11111010111010111…
…01100000100010000
31121110112112211220010
433223223230010100
5233441241002321
611422530114520
71134200066304
oct175353540420
947415484803
1016839000336
1171611a4204
12331b41ba40
131784842932
14b5a56dd04
156884c3676
hex3ebaec110

16839000336 has 80 divisors (see below), whose sum is σ = 45043277760. Its totient is φ = 5414330880.

The previous prime is 16839000289. The next prime is 16839000377. The reversal of 16839000336 is 63300093861.

16839000336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×168390003362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16839000294 and 16839000303.

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 15 ways as a sum of consecutive naturals, for example, 1638831 + ... + 1649073.

It is an arithmetic number, because the mean of its divisors is an integer number (563040972).

Almost surely, 216839000336 is an apocalyptic number.

16839000336 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 16839000336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22521638880).

16839000336 is an abundant number, since it is smaller than the sum of its proper divisors (28204277424).

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

16839000336 is a wasteful number, since it uses less digits than its factorization.

16839000336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11464 (or 11458 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 16839000336 in words is "sixteen billion, eight hundred thirty-nine million, three hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1181 1392 2362 3543 4724 7086 9448 10243 14172 18896 20486 28344 30729 34249 40972 56688 61458 68498 81944 102747 122916 136996 163888 205494 245832 273992 297047 410988 491664 547984 594094 821976 891141 1188188 1643952 1782282 2376376 3564564 4752752 7129128 12096983 14258256 24193966 36290949 48387932 72581898 96775864 145163796 193551728 290327592 350812507 580655184 701625014 1052437521 1403250028 2104875042 2806500056 4209750084 5613000112 8419500168 16839000336