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21398049504 = 25331329179367
BaseRepresentation
bin10011111011011011…
…000101001011100000
32001020021012112122000
4103323123011023200
5322310400041004
613455150244000
71355156263656
oct237333051340
961207175560
1021398049504
119090706337
1241921b6600
132030222670
14106dc4add6
15853877c39
hex4fb6c52e0

21398049504 has 384 divisors, whose sum is σ = 70108416000. Its totient is φ = 6304241664.

The previous prime is 21398049479. The next prime is 21398049521. The reversal of 21398049504 is 40594089312.

21398049504 is a `hidden beast` number, since 2 + 13 + 98 + 0 + 49 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21398049504.

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, 58305129 + ... + 58305495.

It is an arithmetic number, because the mean of its divisors is an integer number (182574000).

Almost surely, 221398049504 is an apocalyptic number.

21398049504 is a gapful number since it is divisible by the number (24) 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 21398049504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35054208000).

21398049504 is an abundant number, since it is smaller than the sum of its proper divisors (48710366496).

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

21398049504 is a wasteful number, since it uses less digits than its factorization.

21398049504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 21398049504 in words is "twenty-one billion, three hundred ninety-eight million, forty-nine thousand, five hundred four".