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21337446006 = 2331920796731
BaseRepresentation
bin10011110111110011…
…111001011001110110
32001002001011120021000
4103313303321121312
5322144341233011
613445143304130
71353522204252
oct236763713166
961061146230
1021337446006
11905a482aa8
124175a4b046
1320207c3ac6
141065b93262
1584d3a6356
hex4f7cf9676

21337446006 has 32 divisors (see below), whose sum is σ = 49912156800. Its totient is φ = 6738140520.

The previous prime is 21337445999. The next prime is 21337446019. The reversal of 21337446006 is 60064473312.

It is a happy number.

21337446006 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 7 + 44 + 600 + 6 = 666.

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 15 ways as a sum of consecutive naturals, for example, 10397340 + ... + 10399391.

It is an arithmetic number, because the mean of its divisors is an integer number (1559754900).

Almost surely, 221337446006 is an apocalyptic number.

21337446006 is an abundant number, since it is smaller than the sum of its proper divisors (28574710794).

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

21337446006 is a wasteful number, since it uses less digits than its factorization.

21337446006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20796761 (or 20796755 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 21337446006 in words is "twenty-one billion, three hundred thirty-seven million, four hundred forty-six thousand, six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 20796731 41593462 62390193 124780386 187170579 374341158 395137889 561511737 790275778 1123023474 1185413667 2370827334 3556241001 7112482002 10668723003 21337446006