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5430325824 = 2632721117491
BaseRepresentation
bin1010000111010110…
…00011001001000000
3112000110010010121200
411003223003021000
542110130411244
62254502421200
7251366002500
oct50353031100
915013103550
105430325824
112337306190
121076731800
1368705a561
143972bba00
1521bb0a669
hex143ac3240

5430325824 has 252 divisors, whose sum is σ = 19753435728. Its totient is φ = 1410393600.

The previous prime is 5430325819. The next prime is 5430325841. The reversal of 5430325824 is 4285230345.

5430325824 is a `hidden beast` number, since 5 + 43 + 0 + 32 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 301719 + ... + 319209.

Almost surely, 25430325824 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 5430325824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9876717864).

5430325824 is an abundant number, since it is smaller than the sum of its proper divisors (14323109904).

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

5430325824 is a wasteful number, since it uses less digits than its factorization.

5430325824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17534 (or 17514 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5430325824 is about 73690.7444934572. The cubic root of 5430325824 is about 1757.6887084867.

The spelling of 5430325824 in words is "five billion, four hundred thirty million, three hundred twenty-five thousand, eight hundred twenty-four".