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18380958960 = 243571317311597
BaseRepresentation
bin10001000111100101…
…110010110011110000
31202110000000110110210
4101013211302303300
5300121011141320
612235531424120
71220332400430
oct210745626360
952400013423
1018380958960
117882632581
12368b8b5040
13196c1360a0
14c652762c0
15728a5a0e0
hex447972cf0

18380958960 has 640 divisors, whose sum is σ = 76699090944. Its totient is φ = 3530096640.

The previous prime is 18380958931. The next prime is 18380959021. The reversal of 18380958960 is 6985908381.

It is a self number, because there is not a number n which added to its sum of digits gives 18380958960.

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 127 ways as a sum of consecutive naturals, for example, 11508882 + ... + 11510478.

Almost surely, 218380958960 is an apocalyptic number.

18380958960 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 18380958960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38349545472).

18380958960 is an abundant number, since it is smaller than the sum of its proper divisors (58318131984).

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

18380958960 is a wasteful number, since it uses less digits than its factorization.

18380958960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 18380958960 in words is "eighteen billion, three hundred eighty million, nine hundred fifty-eight thousand, nine hundred sixty".