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21684718107 = 32131947207547
BaseRepresentation
bin10100001100100000…
…101000101000011011
32001222020121211000200
4110030200220220123
5323402241434412
613543430433243
71365240030333
oct241440505033
961866554020
1021684718107
119218504738
124252202823
132077733460
141099d500c3
1586db019dc
hex50c828a1b

21684718107 has 48 divisors (see below), whose sum is σ = 36262786560. Its totient is φ = 12373062336.

The previous prime is 21684718087. The next prime is 21684718141. The reversal of 21684718107 is 70181748612.

21684718107 is a `hidden beast` number, since 2 + 168 + 471 + 8 + 10 + 7 = 666.

It is not a de Polignac number, because 21684718107 - 210 = 21684717083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21684718157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708 + ... + 208254.

It is an arithmetic number, because the mean of its divisors is an integer number (755474720).

Almost surely, 221684718107 is an apocalyptic number.

21684718107 is a deficient number, since it is larger than the sum of its proper divisors (14578068453).

21684718107 is a wasteful number, since it uses less digits than its factorization.

21684718107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207632 (or 207629 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 21684718107 in words is "twenty-one billion, six hundred eighty-four million, seven hundred eighteen thousand, one hundred seven".

Divisors: 1 3 9 13 19 39 47 57 117 141 171 247 423 611 741 893 1833 2223 2679 5499 8037 11609 34827 104481 207547 622641 1867923 2698111 3943393 8094333 9754709 11830179 24282999 29264127 35490537 51264109 87792381 126811217 153792327 185339471 380433651 461376981 556018413 1141300953 1668055239 2409413123 7228239369 21684718107