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21039074784 = 2534713191467
BaseRepresentation
bin10011100110000001…
…101100110111100000
32000022020201201220000
4103212001230313200
5321042000343114
613355404220000
71343240120310
oct234601546740
960266651800
1021039074784
118a17011312
1240b1b3a600
131ca3a464a0
1410382c5440
158320b9e09
hex4e606cde0

21039074784 has 480 divisors, whose sum is σ = 76716896256. Its totient is φ = 5507896320.

The previous prime is 21039074743. The next prime is 21039074801. The reversal of 21039074784 is 48747093012.

21039074784 is a `hidden beast` number, since 210 + 390 + 7 + 47 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45051319 + ... + 45051785.

Almost surely, 221039074784 is an apocalyptic number.

21039074784 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 21039074784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38358448128).

21039074784 is an abundant number, since it is smaller than the sum of its proper divisors (55677821472).

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

21039074784 is a wasteful number, since it uses less digits than its factorization.

21039074784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 21039074784 in words is "twenty-one billion, thirty-nine million, seventy-four thousand, seven hundred eighty-four".