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21086470080 = 26325131374111
BaseRepresentation
bin10011101000110110…
…011111111111000000
32000102112220200000100
4103220312133333000
5321141114020310
613404220122400
71344354016104
oct235066377700
960375820010
1021086470080
118a40843085
124105996400
131cb07cc140
141040701904
1583632cec0
hex4e8d9ffc0

21086470080 has 336 divisors, whose sum is σ = 78697067904. Its totient is φ = 5151375360.

The previous prime is 21086470079. The next prime is 21086470117. The reversal of 21086470080 is 8007468012.

21086470080 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 647 + 0 + 0 + 8 + 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5127225 + ... + 5131335.

It is an arithmetic number, because the mean of its divisors is an integer number (234217464).

Almost surely, 221086470080 is an apocalyptic number.

21086470080 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 21086470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39348533952).

21086470080 is an abundant number, since it is smaller than the sum of its proper divisors (57610597824).

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

21086470080 is a wasteful number, since it uses less digits than its factorization.

21086470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 21086470080 in words is "twenty-one billion, eighty-six million, four hundred seventy thousand, eighty".