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21678894387942 = 231113917313659421
BaseRepresentation
bin1001110110111100000101…
…10011001001001011100110
32211202111000102110011000020
410323132002303021023212
510320141333430403232
6114035051355300010
74365151132611531
oct473360263111346
984674012404006
1021678894387942
1169a8a70794930
122521621a4a606
13c1340727765c
1454d39a923a18
15278db7844e2c
hex13b782cc92e6

21678894387942 has 64 divisors (see below), whose sum is σ = 47915066868480. Its totient is φ = 6484399862400.

The previous prime is 21678894387823. The next prime is 21678894387959. The reversal of 21678894387942 is 24978349887612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5242609 + ... + 8416812.

It is an arithmetic number, because the mean of its divisors is an integer number (748672919820).

Almost surely, 221678894387942 is an apocalyptic number.

21678894387942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21678894387942 is an abundant number, since it is smaller than the sum of its proper divisors (26236172480538).

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

21678894387942 is a wasteful number, since it uses less digits than its factorization.

21678894387942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13659749.

The product of its digits is 2341011456, while the sum is 78.

The spelling of 21678894387942 in words is "twenty-one trillion, six hundred seventy-eight billion, eight hundred ninety-four million, three hundred eighty-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 139 173 278 346 417 519 834 1038 1529 1903 3058 3806 4587 5709 9174 11418 24047 48094 72141 144282 264517 529034 793551 1587102 13659421 27318842 40978263 81956526 150253631 300507262 450760893 901521786 1898659519 2363079833 3797319038 4726159666 5695978557 7089239499 11391957114 14178478998 20885254709 25993878163 41770509418 51987756326 62655764127 77981634489 125311528254 155963268978 328468096787 656936193574 985404290361 1970808580722 3613149064657 7226298129314 10839447193971 21678894387942