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2163816432 = 243215026503
BaseRepresentation
bin1000000011111001…
…0011011111110000
312120210121021010100
42000332103133300
513412414111212
6554414032400
7104423064501
oct20076233760
95523537110
102163816432
11a10466348
125047a8700
132863a2c6b
1416753cba8
15c9e70bdc
hex80f937f0

2163816432 has 30 divisors (see below), whose sum is σ = 6055681112. Its totient is φ = 721272096.

The previous prime is 2163816407. The next prime is 2163816439. The reversal of 2163816432 is 2346183612.

2163816432 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 8 + 1 + 643 + 2 = 666.

2163816432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163816439) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7513108 + ... + 7513395.

Almost surely, 22163816432 is an apocalyptic number.

It is an amenable number.

2163816432 is an abundant number, since it is smaller than the sum of its proper divisors (3891864680).

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

2163816432 is a wasteful number, since it uses less digits than its factorization.

2163816432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15026517 (or 15026508 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2163816432 is about 46516.8403054206. The cubic root of 2163816432 is about 1293.4216858431.

The spelling of 2163816432 in words is "two billion, one hundred sixty-three million, eight hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15026503 30053006 45079509 60106012 90159018 120212024 135238527 180318036 240424048 270477054 360636072 540954108 721272144 1081908216 2163816432