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18478290240 = 263454359281
BaseRepresentation
bin10001001101011001…
…000101010101000000
31202200210011101220000
4101031121011111000
5300320420241430
612253325520000
71222623606204
oct211531052500
952623141800
1018478290240
117922570a53
1236b8413000
131986353c67
14c74170b04
15732383e60
hex44d645540

18478290240 has 560 divisors, whose sum is σ = 68642544960. Its totient is φ = 4714536960.

The previous prime is 18478290227. The next prime is 18478290253. The reversal of 18478290240 is 4209287481.

It is an interprime number because it is at equal distance from previous prime (18478290227) and next prime (18478290253).

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 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, 65758900 + ... + 65759180.

Almost surely, 218478290240 is an apocalyptic number.

18478290240 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 18478290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34321272480).

18478290240 is an abundant number, since it is smaller than the sum of its proper divisors (50164254720).

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

18478290240 is a wasteful number, since it uses less digits than its factorization.

18478290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 18478290240 in words is "eighteen billion, four hundred seventy-eight million, two hundred ninety thousand, two hundred forty".