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21055795200 = 2123252113167
BaseRepresentation
bin10011100111000001…
…011111000000000000
32000100102012012222200
4103213001133000000
5321110240421300
613401202433200
71343532210006
oct234701370000
960312165880
1021055795200
118a254a1640
1240b7662800
131ca734bc1b
14103a5d8a76
158337be200
hex4e705f000

21055795200 has 936 divisors, whose sum is σ = 86195006976. Its totient is φ = 4866048000.

The previous prime is 21055795147. The next prime is 21055795207. The reversal of 21055795200 is 259755012.

21055795200 is a `hidden beast` number, since 2 + 10 + 55 + 79 + 520 + 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 not an unprimeable number, because it can be changed into a prime (21055795207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 314265567 + ... + 314265633.

Almost surely, 221055795200 is an apocalyptic number.

21055795200 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 21055795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43097503488).

21055795200 is an abundant number, since it is smaller than the sum of its proper divisors (65139211776).

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

21055795200 is a wasteful number, since it uses less digits than its factorization.

21055795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 21055795200 in words is "twenty-one billion, fifty-five million, seven hundred ninety-five thousand, two hundred".