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21339092736 = 2833131929431
BaseRepresentation
bin10011110111111010…
…001011011100000000
32001002011021020011000
4103313322023130000
5322200301431421
613445242452000
71353542203233
oct236772133400
961064236130
1021339092736
1190603a8235
124176504000
132020c4c4c0
1410660a141a
1584d5ce226
hex4f7e8b700

21339092736 has 576 divisors, whose sum is σ = 74172672000. Its totient is φ = 5991874560.

The previous prime is 21339092729. The next prime is 21339092741. The reversal of 21339092736 is 63729093312.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 21339092691 and 21339092700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49510441 + ... + 49510871.

It is an arithmetic number, because the mean of its divisors is an integer number (128772000).

Almost surely, 221339092736 is an apocalyptic number.

21339092736 is a gapful number since it is divisible by the number (26) 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 21339092736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37086336000).

21339092736 is an abundant number, since it is smaller than the sum of its proper divisors (52833579264).

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

21339092736 is a wasteful number, since it uses less digits than its factorization.

21339092736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 21339092736 in words is "twenty-one billion, three hundred thirty-nine million, ninety-two thousand, seven hundred thirty-six".