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20614861008 = 24327414710613
BaseRepresentation
bin10011001100101111…
…011101000011010000
31222012200111102222200
4103030233131003100
5314204401023013
613245332003200
71326566266410
oct231457350320
958180442880
1020614861008
118819608215
123bb3a60500
131c36ba7811
14dd7c1a640
15809c21e73
hex4ccbdd0d0

20614861008 has 240 divisors, whose sum is σ = 68986584576. Its totient is φ = 5623511040.

The previous prime is 20614860989. The next prime is 20614861021. The reversal of 20614861008 is 80016841602.

20614861008 is a `hidden beast` number, since 20 + 6 + 14 + 8 + 610 + 0 + 8 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1937110 + ... + 1947722.

Almost surely, 220614861008 is an apocalyptic number.

20614861008 is a gapful number since it is divisible by the number (28) 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 20614861008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34493292288).

20614861008 is an abundant number, since it is smaller than the sum of its proper divisors (48371723568).

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

20614861008 is a wasteful number, since it uses less digits than its factorization.

20614861008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10722 (or 10713 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 20614861008 in words is "twenty billion, six hundred fourteen million, eight hundred sixty-one thousand, eight".