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18399934080 = 273451141787
BaseRepresentation
bin10001001000101110…
…001011011010000000
31202111022201111110000
4101020232023122000
5300140340342310
612241450240000
71220652600453
oct211056133200
952438644400
1018399934080
1178923128a0
123696126000
13197304ab78
14c679b549a
1572a5574c0
hex448b8b680

18399934080 has 640 divisors, whose sum is σ = 73524749760. Its totient is φ = 4346265600.

The previous prime is 18399934067. The next prime is 18399934109. The reversal of 18399934080 is 8043999381.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23379447 + ... + 23380233.

Almost surely, 218399934080 is an apocalyptic number.

18399934080 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 18399934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36762374880).

18399934080 is an abundant number, since it is smaller than the sum of its proper divisors (55124815680).

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

18399934080 is a wasteful number, since it uses less digits than its factorization.

18399934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 18399934080 in words is "eighteen billion, three hundred ninety-nine million, nine hundred thirty-four thousand, eighty".