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21937937520 = 24356189113149
BaseRepresentation
bin10100011011100110…
…100101110001110000
32002121220002200202110
4110123212211301300
5324412103000040
614024514045320
71404433251342
oct243346456160
962556080673
1021937937520
119338437184
124302b79840
1320b8032325
1410c1827292
15885e6e980
hex51b9a5c70

21937937520 has 320 divisors, whose sum is σ = 70990992000. Its totient is φ = 5601361920.

The previous prime is 21937937519. The next prime is 21937937531. The reversal of 21937937520 is 2573973912.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21937937520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147234406 + ... + 147234554.

It is an arithmetic number, because the mean of its divisors is an integer number (221846850).

Almost surely, 221937937520 is an apocalyptic number.

21937937520 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 21937937520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35495496000).

21937937520 is an abundant number, since it is smaller than the sum of its proper divisors (49053054480).

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

21937937520 is a wasteful number, since it uses less digits than its factorization.

21937937520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The spelling of 21937937520 in words is "twenty-one billion, nine hundred thirty-seven million, nine hundred thirty-seven thousand, five hundred twenty".