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18204141984 = 2537197319531
BaseRepresentation
bin10000111101000011…
…010010100110100000
31201222200022020011220
4100331003102212200
5244240230020414
612210213535040
71213054440150
oct207503224640
951880266156
1018204141984
1177a1844346
123640644480
131941607c62
14c499aa760
1571827eca9
hex43d0d29a0

18204141984 has 192 divisors, whose sum is σ = 58277237760. Its totient is φ = 4859688960.

The previous prime is 18204141979. The next prime is 18204142007. The reversal of 18204141984 is 48914140281.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 922299 + ... + 941829.

It is an arithmetic number, because the mean of its divisors is an integer number (303527280).

Almost surely, 218204141984 is an apocalyptic number.

18204141984 is a gapful number since it is divisible by the number (14) 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 18204141984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29138618880).

18204141984 is an abundant number, since it is smaller than the sum of its proper divisors (40073095776).

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

18204141984 is a wasteful number, since it uses less digits than its factorization.

18204141984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19643 (or 19635 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 18204141984 in words is "eighteen billion, two hundred four million, one hundred forty-one thousand, nine hundred eighty-four".