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21339002880 = 211345131979
BaseRepresentation
bin10011110111111001…
…110101100000000000
32001002011002122220000
4103313321311200000
5322200241043010
613445240520000
71353541350246
oct236771654000
961064078800
1021339002880
119060346778
124176480000
132020c1a630
14106607a796
1584d5b27c0
hex4f7e75800

21339002880 has 480 divisors, whose sum is σ = 82410728400. Its totient is φ = 5250023424.

The previous prime is 21339002869. The next prime is 21339002891. The reversal of 21339002880 is 8820093312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21339002869) and next prime (21339002891).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10781731 + ... + 10783709.

Almost surely, 221339002880 is an apocalyptic number.

21339002880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21339002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41205364200).

21339002880 is an abundant number, since it is smaller than the sum of its proper divisors (61071725520).

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

21339002880 is a wasteful number, since it uses less digits than its factorization.

21339002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21339002880 in words is "twenty-one billion, three hundred thirty-nine million, two thousand, eight hundred eighty".