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18087549480 = 233557112133
BaseRepresentation
bin10000110110000110…
…100001101000101000
31201200112220201100000
4100312012201220220
5244020403040410
612150450543000
71210140430260
oct206606415050
951615821300
1018087549480
117741a4a700
123609597a60
131923405000
14c382da7a0
1570cdeddc0
hex4361a1a28

18087549480 has 1152 divisors, whose sum is σ = 82958803200. Its totient is φ = 3469340160.

The previous prime is 18087549479. The next prime is 18087549481. The reversal of 18087549480 is 8494578081.

18087549480 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 75 + 494 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (18087549479) and next prime (18087549481).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18087549481) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 1391349954 + ... + 1391349966.

It is an arithmetic number, because the mean of its divisors is an integer number (72012850).

Almost surely, 218087549480 is an apocalyptic number.

18087549480 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 18087549480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41479401600).

18087549480 is an abundant number, since it is smaller than the sum of its proper divisors (64871253720).

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

18087549480 is a wasteful number, since it uses less digits than its factorization.

18087549480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 18087549480 in words is "eighteen billion, eighty-seven million, five hundred forty-nine thousand, four hundred eighty".