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18380716640 = 25511132273539
BaseRepresentation
bin10001000111100100…
…110111101001100000
31202102222120011001222
4101013210313221200
5300120430413030
612235522314212
71220330341106
oct210744675140
952388504058
1018380716640
117882487510
12368b7b8968
13196c07c9c0
14c65211c76
15728a0d3e5
hex447937a60

18380716640 has 192 divisors, whose sum is σ = 51255348480. Its totient is φ = 6140835840.

The previous prime is 18380716637. The next prime is 18380716663. The reversal of 18380716640 is 4661708381.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 18380716591 and 18380716600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5191991 + ... + 5195529.

It is an arithmetic number, because the mean of its divisors is an integer number (266954940).

Almost surely, 218380716640 is an apocalyptic number.

18380716640 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 18380716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25627674240).

18380716640 is an abundant number, since it is smaller than the sum of its proper divisors (32874631840).

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

18380716640 is a wasteful number, since it uses less digits than its factorization.

18380716640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 18380716640 in words is "eighteen billion, three hundred eighty million, seven hundred sixteen thousand, six hundred forty".