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2160018432 = 2103211213149
BaseRepresentation
bin1000000010111111…
…0100010000000000
312120112110022020200
42000233310100000
513410431042212
6554200405200
7104345565555
oct20057642000
95515408220
102160018432
11a09301900
12503476800
13285673320
14166c30a2c
15c99706dc
hex80bf4400

2160018432 has 396 divisors, whose sum is σ = 7432452300. Its totient is φ = 600145920.

The previous prime is 2160018299. The next prime is 2160018463. The reversal of 2160018432 is 2348100612.

2160018432 is a `hidden beast` number, since 2 + 1 + 600 + 18 + 43 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 285474816 + 1874543616 = 16896^2 + 43296^2 .

It is a tau number, because it is divible by the number of its divisors (396).

It is a junction number, because it is equal to n+sod(n) for n = 2160018396 and 2160018405.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14496694 + ... + 14496842.

Almost surely, 22160018432 is an apocalyptic number.

2160018432 is a gapful number since it is divisible by the number (22) 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 2160018432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716226150).

2160018432 is an abundant number, since it is smaller than the sum of its proper divisors (5272433868).

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

2160018432 is a wasteful number, since it uses less digits than its factorization.

2160018432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2160018432 is about 46475.9984508133. The cubic root of 2160018432 is about 1292.6644909105.

The spelling of 2160018432 in words is "two billion, one hundred sixty million, eighteen thousand, four hundred thirty-two".