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21408364806864 = 243763715371449
BaseRepresentation
bin1001101111000100001011…
…11110101100001011010000
32210210121201202022111222020
410313202011332230023100
510301223312342304424
6113310511135411440
74336463144245650
oct467420576541320
983717652274866
1021408364806864
116904266900552
122499102083b80
13bc3a52b9c669
14540255774360
15271d32552079
hex137885fac2d0

21408364806864 has 40 divisors (see below), whose sum is σ = 63205648478400. Its totient is φ = 6116675659008.

The previous prime is 21408364806791. The next prime is 21408364806877. The reversal of 21408364806864 is 46860846380412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21408364806798 and 21408364806807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31857685389 + ... + 31857686060.

It is an arithmetic number, because the mean of its divisors is an integer number (1580141211960).

Almost surely, 221408364806864 is an apocalyptic number.

21408364806864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21408364806864 is an abundant number, since it is smaller than the sum of its proper divisors (41797283671536).

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

21408364806864 is a wasteful number, since it uses less digits than its factorization.

21408364806864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63715371467 (or 63715371461 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 60.

The spelling of 21408364806864 in words is "twenty-one trillion, four hundred eight billion, three hundred sixty-four million, eight hundred six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 63715371449 127430742898 191146114347 254861485796 382292228694 446007600143 509722971592 764584457388 892015200286 1019445943184 1338022800429 1529168914776 1784030400572 2676045600858 3058337829552 3568060801144 5352091201716 7136121602288 10704182403432 21408364806864