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18874986120 = 2335531371693
BaseRepresentation
bin10001100101000010…
…010110111010001000
31210201102121122100000
4101211002112322020
5302123444023440
612400540243000
71235511510024
oct214502267210
953642548300
1018874986120
11800648a491
1237a9240460
131a1a5a9653
14cb0b15384
157570e3730
hex465096e88

18874986120 has 384 divisors, whose sum is σ = 67482455040. Its totient is φ = 4736517120.

The previous prime is 18874986059. The next prime is 18874986127. The reversal of 18874986120 is 2168947881.

18874986120 is a `hidden beast` number, since 18 + 8 + 7 + 4 + 9 + 8 + 612 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18874986127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11147994 + ... + 11149686.

It is an arithmetic number, because the mean of its divisors is an integer number (175735560).

Almost surely, 218874986120 is an apocalyptic number.

18874986120 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 18874986120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33741227520).

18874986120 is an abundant number, since it is smaller than the sum of its proper divisors (48607468920).

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

18874986120 is a wasteful number, since it uses less digits than its factorization.

18874986120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 18874986120 in words is "eighteen billion, eight hundred seventy-four million, nine hundred eighty-six thousand, one hundred twenty".