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21250285056 = 29327111317271
BaseRepresentation
bin10011110010100111…
…011001111000000000
32000211222011022220200
4103302213121320000
5322010033110211
613432351205200
71351413304560
oct236247317000
960758138820
1021250285056
119015260760
124150816800
132008727190
141058384da0
158458dab56
hex4f29d9e00

21250285056 has 960 divisors, whose sum is σ = 87510398976. Its totient is φ = 4777574400.

The previous prime is 21250285037. The next prime is 21250285093. The reversal of 21250285056 is 65058205212.

It is a happy number.

21250285056 is a `hidden beast` number, since 2 + 125 + 0 + 28 + 505 + 6 = 666.

It is a super-2 number, since 2×212502850562 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21250285056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78414201 + ... + 78414471.

Almost surely, 221250285056 is an apocalyptic number.

21250285056 is a gapful number since it is divisible by the number (26) 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 21250285056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43755199488).

21250285056 is an abundant number, since it is smaller than the sum of its proper divisors (66260113920).

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

21250285056 is a wasteful number, since it uses less digits than its factorization.

21250285056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 21250285056 in words is "twenty-one billion, two hundred fifty million, two hundred eighty-five thousand, fifty-six".