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18149041680 = 243571121937127
BaseRepresentation
bin10000111001110001…
…000110011000010000
31201211211121211202220
4100321301012120100
5244132123313210
612200524541040
71211515210650
oct207161063020
951754554686
1018149041680
11777372a700
1236260b1780
131933085223
14c42546360
157134e8c70
hex439c46610

18149041680 has 960 divisors, whose sum is σ = 77008404480. Its totient is φ = 3448811520.

The previous prime is 18149041633. The next prime is 18149041711. The reversal of 18149041680 is 8614094181.

It is a happy number.

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

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 191 ways as a sum of consecutive naturals, for example, 142905777 + ... + 142905903.

It is an arithmetic number, because the mean of its divisors is an integer number (80217088).

Almost surely, 218149041680 is an apocalyptic number.

18149041680 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 18149041680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38504202240).

18149041680 is an abundant number, since it is smaller than the sum of its proper divisors (58859362800).

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

18149041680 is a wasteful number, since it uses less digits than its factorization.

18149041680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 18149041680 in words is "eighteen billion, one hundred forty-nine million, forty-one thousand, six hundred eighty".