Search a number
-
+
5641324920 = 2333572112881
BaseRepresentation
bin1010100000011111…
…11100100101111000
3112120011010222222000
411100033330211320
543023134344140
62331441101000
7256540320300
oct52017744570
915504128860
105641324920
112435420a00
121115327760
136bb9960aa
143b7324600
152303d8a30
hex1503fc978

5641324920 has 576 divisors, whose sum is σ = 24071191200. Its totient is φ = 1170892800.

The previous prime is 5641324901. The next prime is 5641324937. The reversal of 5641324920 is 294231465.

It is a happy number.

5641324920 is a `hidden beast` number, since 5 + 641 + 3 + 2 + 4 + 9 + 2 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6402880 + ... + 6403760.

Almost surely, 25641324920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5641324920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12035595600).

5641324920 is an abundant number, since it is smaller than the sum of its proper divisors (18429866280).

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

5641324920 is a wasteful number, since it uses less digits than its factorization.

5641324920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5641324920 is about 75108.7539505216. The cubic root of 5641324920 is about 1780.1654645661.

The spelling of 5641324920 in words is "five billion, six hundred forty-one million, three hundred twenty-four thousand, nine hundred twenty".