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18976020480 = 2113251910837
BaseRepresentation
bin10001101011000011…
…110001100000000000
31210222110201201102100
4101223003301200000
5302330330123410
612414545550400
71241146340604
oct215303614000
953873651370
1018976020480
11805851805a
123817045400
131a354c2bb1
14cc02d5504
15760dee8c0
hex46b0f1800

18976020480 has 288 divisors, whose sum is σ = 69235311600. Its totient is φ = 4793499648.

The previous prime is 18976020467. The next prime is 18976020493. The reversal of 18976020480 is 8402067981.

18976020480 is a `hidden beast` number, since 1 + 8 + 97 + 60 + 20 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (18976020467) and next prime (18976020493).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1745622 + ... + 1756458.

Almost surely, 218976020480 is an apocalyptic number.

18976020480 is a gapful number since it is divisible by the number (10) 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 18976020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34617655800).

18976020480 is an abundant number, since it is smaller than the sum of its proper divisors (50259291120).

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

18976020480 is a wasteful number, since it uses less digits than its factorization.

18976020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10889 (or 10866 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 18976020480 in words is "eighteen billion, nine hundred seventy-six million, twenty thousand, four hundred eighty".