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18763480320 = 283513409919
BaseRepresentation
bin10001011110011000…
…111111110100000000
31210102122210120010120
4101132120333310000
5301411422332240
612341514300240
71232655644154
oct213630776400
953378716116
1018763480320
117a5954a532
123777a27680
131a00467aa0
14c9ddab064
1574c419ad0
hex45e63fd00

18763480320 has 288 divisors, whose sum is σ = 64763731200. Its totient is φ = 4602396672.

The previous prime is 18763480291. The next prime is 18763480331. The reversal of 18763480320 is 2308436781.

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 31 ways as a sum of consecutive naturals, for example, 20416821 + ... + 20417739.

Almost surely, 218763480320 is an apocalyptic number.

18763480320 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 18763480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32381865600).

18763480320 is an abundant number, since it is smaller than the sum of its proper divisors (46000250880).

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

18763480320 is a wasteful number, since it uses less digits than its factorization.

18763480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 18763480320 in words is "eighteen billion, seven hundred sixty-three million, four hundred eighty thousand, three hundred twenty".