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21151804320 = 2533512593889
BaseRepresentation
bin10011101100101111…
…101110101110100000
32000121002211222202000
4103230233232232200
5321304330214240
613414512324000
71346106240663
oct235457565640
960532758660
1021151804320
118a74707719
124123843600
131cc11c605a
14104926b6da
1583be36430
hex4ecbeeba0

21151804320 has 192 divisors, whose sum is σ = 74109168000. Its totient is φ = 5634551808.

The previous prime is 21151804307. The next prime is 21151804357. The reversal of 21151804320 is 2340815112.

21151804320 is a `hidden beast` number, since 2 + 1 + 151 + 80 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5436936 + ... + 5440824.

It is an arithmetic number, because the mean of its divisors is an integer number (385985250).

Almost surely, 221151804320 is an apocalyptic number.

21151804320 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 21151804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37054584000).

21151804320 is an abundant number, since it is smaller than the sum of its proper divisors (52957363680).

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

21151804320 is a wasteful number, since it uses less digits than its factorization.

21151804320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 21151804320 in words is "twenty-one billion, one hundred fifty-one million, eight hundred four thousand, three hundred twenty".