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20463907968 = 273272639649
BaseRepresentation
bin10011000011101111…
…100111010010000000
31221211011110020100100
4103003233213102000
5313402230023333
613222340322400
71323054230160
oct230357472200
957734406310
1020463907968
118751384a39
123b713a3400
131c11833baa
14dc1b645a0
157eb855213
hex4c3be7480

20463907968 has 192 divisors, whose sum is σ = 67562352000. Its totient is φ = 5823995904.

The previous prime is 20463907951. The next prime is 20463907969. The reversal of 20463907968 is 86970936402.

It is a happy number.

20463907968 is a `hidden beast` number, since 2 + 0 + 463 + 90 + 7 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (20463907969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2116008 + ... + 2125656.

It is an arithmetic number, because the mean of its divisors is an integer number (351887250).

Almost surely, 220463907968 is an apocalyptic number.

20463907968 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 20463907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33781176000).

20463907968 is an abundant number, since it is smaller than the sum of its proper divisors (47098444032).

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

20463907968 is a wasteful number, since it uses less digits than its factorization.

20463907968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9939 (or 9924 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 20463907968 in words is "twenty billion, four hundred sixty-three million, nine hundred seven thousand, nine hundred sixty-eight".