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21325662725004 = 223211192416175897
BaseRepresentation
bin1001101100101010001001…
…00011010010001110001100
32210111201021002202110111100
410312111010203102032030
510243344424124200004
6113204512455023100
74330504542200451
oct466250443221614
983451232673440
1021325662725004
116882187716370
12248508136aa90
13bb9003002651
1453a24bbc3828
1526eae1c3b739
hex1365448d238c

21325662725004 has 432 divisors, whose sum is σ = 63692771609376. Its totient is φ = 5962186137600.

The previous prime is 21325662724999. The next prime is 21325662725021. The reversal of 21325662725004 is 40052726652312.

21325662725004 is a `hidden beast` number, since 2 + 1 + 32 + 56 + 62 + 7 + 2 + 500 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3616354984 + ... + 3616360880.

It is an arithmetic number, because the mean of its divisors is an integer number (147436971318).

Almost surely, 221325662725004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21325662725004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31846385804688).

21325662725004 is an abundant number, since it is smaller than the sum of its proper divisors (42367108884372).

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

21325662725004 is a wasteful number, since it uses less digits than its factorization.

21325662725004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 21325662725004 in words is "twenty-one trillion, three hundred twenty-five billion, six hundred sixty-two million, seven hundred twenty-five thousand, four".