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2150913024 = 210321321381
BaseRepresentation
bin1000000000110100…
…0101010000000000
312112220022200222100
42000031011100000
513401113204044
6553233310400
7104205313311
oct20015052000
95486280870
102150913024
11a04152877
12500405400
13283805a00
14165940608
15c8c72869
hex80345400

2150913024 has 198 divisors, whose sum is σ = 6730081566. Its totient is φ = 661340160.

The previous prime is 2150912999. The next prime is 2150913041. The reversal of 2150913024 is 4203190512.

2150913024 is a `hidden beast` number, since 2 + 1 + 509 + 130 + 24 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 921600 + 2149991424 = 960^2 + 46368^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1556814 + ... + 1558194.

Almost surely, 22150913024 is an apocalyptic number.

2150913024 is a gapful number since it is divisible by the number (24) 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 2150913024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365040783).

2150913024 is an abundant number, since it is smaller than the sum of its proper divisors (4579168542).

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

2150913024 is a wasteful number, since it uses less digits than its factorization.

2150913024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2150913024 is about 46377.9368234509. The cubic root of 2150913024 is about 1290.8455534519.

The spelling of 2150913024 in words is "two billion, one hundred fifty million, nine hundred thirteen thousand, twenty-four".