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2018152080 = 2432573112917
BaseRepresentation
bin111100001001010…
…1000111010010000
312012122111202012100
41320102220322100
513113121331310
6532132000400
7101004003210
oct17022507220
95178452170
102018152080
1194621558a
12483a60100
13262161639
14152062240
15bc29aec0
hex784a8e90

2018152080 has 240 divisors, whose sum is σ = 7996345344. Its totient is φ = 446376960.

The previous prime is 2018152009. The next prime is 2018152099. The reversal of 2018152080 is 802518102.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 149782 + ... + 162698.

Almost surely, 22018152080 is an apocalyptic number.

2018152080 is a gapful number since it is divisible by the number (20) 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 2018152080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998172672).

2018152080 is an abundant number, since it is smaller than the sum of its proper divisors (5978193264).

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

2018152080 is a wasteful number, since it uses less digits than its factorization.

2018152080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12974 (or 12965 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 2018152080 is about 44923.8475645174. The cubic root of 2018152080 is about 1263.7212739319.

The spelling of 2018152080 in words is "two billion, eighteen million, one hundred fifty-two thousand, eighty".