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21247078320 = 243251319373229
BaseRepresentation
bin10011110010011011…
…001010111110110000
32000211202010102002200
4103302123022332300
5322003223001240
613432154343200
71351344120516
oct236233127660
960752112080
1021247078320
119013470466
12414b72ab00
132007b736c0
141057b8c4b6
158454a5930
hex4f26cafb0

21247078320 has 480 divisors, whose sum is σ = 83099889600. Its totient is φ = 4819378176.

The previous prime is 21247078319. The next prime is 21247078337. The reversal of 21247078320 is 2387074212.

21247078320 is a `hidden beast` number, since 21 + 247 + 0 + 78 + 320 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 6578466 + ... + 6581694.

It is an arithmetic number, because the mean of its divisors is an integer number (173124770).

Almost surely, 221247078320 is an apocalyptic number.

21247078320 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 21247078320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41549944800).

21247078320 is an abundant number, since it is smaller than the sum of its proper divisors (61852811280).

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

21247078320 is a wasteful number, since it uses less digits than its factorization.

21247078320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 21247078320 in words is "twenty-one billion, two hundred forty-seven million, seventy-eight thousand, three hundred twenty".