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18016846848 = 2103472111331
BaseRepresentation
bin10000110001111000…
…110100010000000000
31201111121212122120000
4100301320310100000
5243344303044343
612135443320000
71205321446200
oct206170642000
951447778500
1018016846848
117706049780
1235a9980000
13191187b730
14c2cb74400
15706ad4ed3
hex431e34400

18016846848 has 1320 divisors, whose sum is σ = 75899222784. Its totient is φ = 4180377600.

The previous prime is 18016846819. The next prime is 18016846901. The reversal of 18016846848 is 84864861081.

It is a happy number.

18016846848 is a `hidden beast` number, since 1 + 80 + 1 + 68 + 468 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18016846794 and 18016846803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 581188593 + ... + 581188623.

Almost surely, 218016846848 is an apocalyptic number.

18016846848 is a gapful number since it is divisible by the number (18) 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 18016846848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37949611392).

18016846848 is an abundant number, since it is smaller than the sum of its proper divisors (57882375936).

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

18016846848 is a wasteful number, since it uses less digits than its factorization.

18016846848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 18016846848 in words is "eighteen billion, sixteen million, eight hundred forty-six thousand, eight hundred forty-eight".