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21693283920 = 2434572116211
BaseRepresentation
bin10100001101000001…
…010011111001010000
32001222211202000010000
4110031001103321100
5323411440041140
613544334210000
71365402604500
oct241501237120
961884660100
1021693283920
119222325320
124255053900
132079442299
14109b13da00
1586e744a30
hex50d053e50

21693283920 has 600 divisors, whose sum is σ = 95628174048. Its totient is φ = 4506969600.

The previous prime is 21693283883. The next prime is 21693283933. The reversal of 21693283920 is 2938239612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3489615 + ... + 3495825.

Almost surely, 221693283920 is an apocalyptic number.

21693283920 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 21693283920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47814087024).

21693283920 is an abundant number, since it is smaller than the sum of its proper divisors (73934890128).

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

21693283920 is a wasteful number, since it uses less digits than its factorization.

21693283920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 21693283920 in words is "twenty-one billion, six hundred ninety-three million, two hundred eighty-three thousand, nine hundred twenty".