Search a number
-
+
16684624992 = 2537194912739
BaseRepresentation
bin11111000100111101…
…10010110001100000
31121001210001202201210
433202132302301200
5233132230444432
611355333230120
71130313654360
oct174236626140
947053052653
1016684624992
117092043782
123297792340
13175b871389
14b43c669a0
15679b7c8cc
hex3e27b2c60

16684624992 has 96 divisors (see below), whose sum is σ = 50083488000. Its totient is φ = 4764215808.

The previous prime is 16684624973. The next prime is 16684625003. The reversal of 16684624992 is 29942648661.

16684624992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×166846249922 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1303359 + ... + 1316097.

It is an arithmetic number, because the mean of its divisors is an integer number (521703000).

Almost surely, 216684624992 is an apocalyptic number.

16684624992 is a gapful number since it is divisible by the number (12) 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 16684624992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25041744000).

16684624992 is an abundant number, since it is smaller than the sum of its proper divisors (33398863008).

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

16684624992 is a wasteful number, since it uses less digits than its factorization.

16684624992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14708 (or 14700 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The spelling of 16684624992 in words is "sixteen billion, six hundred eighty-four million, six hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1949 3898 5847 7796 11694 12739 13643 15592 23388 25478 27286 31184 38217 40929 46776 50956 54572 62368 76434 81858 89173 93552 101912 109144 152868 163716 178346 187104 203824 218288 267519 305736 327432 356692 407648 436576 535038 611472 654864 713384 1070076 1222944 1309728 1426768 2140152 2853536 4280304 8560608 24828311 49656622 74484933 99313244 148969866 173798177 198626488 297939732 347596354 397252976 521394531 595879464 695192708 794505952 1042789062 1191758928 1390385416 2085578124 2383517856 2780770832 4171156248 5561541664 8342312496 16684624992