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21037507920 = 24345111373311
BaseRepresentation
bin10011100101111011…
…101110010101010000
32000022010210010120000
4103211323232111100
5321041100223140
613355310450000
71343220603222
oct234573562520
960263703500
1021037507920
118a16141090
1240b1503900
131ca3618250
141037dd8412
15831daaa30
hex4e5eee550

21037507920 has 800 divisors, whose sum is σ = 87295912704. Its totient is φ = 4628275200.

The previous prime is 21037507913. The next prime is 21037507943. The reversal of 21037507920 is 2970573012.

21037507920 is a `hidden beast` number, since 210 + 375 + 0 + 79 + 2 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67644565 + ... + 67644875.

Almost surely, 221037507920 is an apocalyptic number.

21037507920 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 21037507920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43647956352).

21037507920 is an abundant number, since it is smaller than the sum of its proper divisors (66258404784).

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

21037507920 is a wasteful number, since it uses less digits than its factorization.

21037507920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 21037507920 in words is "twenty-one billion, thirty-seven million, five hundred seven thousand, nine hundred twenty".