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5097430800 = 24325272113771
BaseRepresentation
bin1001011111101010…
…01001111100010000
3111011020201022111100
410233311021330100
540414420241200
62201451344400
7240214306200
oct45765117420
914136638440
105097430800
112186404230
12ba3152100
136330b2b57
14364dc4400
151ec79ed00
hex12fd49f10

5097430800 has 1080 divisors, whose sum is σ = 23379700032. Its totient is φ = 1016064000.

The previous prime is 5097430753. The next prime is 5097430813. The reversal of 5097430800 is 80347905.

5097430800 is a `hidden beast` number, since 509 + 74 + 3 + 0 + 80 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 71794765 + ... + 71794835.

Almost surely, 25097430800 is an apocalyptic number.

5097430800 is a gapful number since it is divisible by the number (50) 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 5097430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11689850016).

5097430800 is an abundant number, since it is smaller than the sum of its proper divisors (18282269232).

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

5097430800 is a wasteful number, since it uses less digits than its factorization.

5097430800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5097430800 is about 71396.2940214686. The cubic root of 5097430800 is about 1721.0115286758.

The spelling of 5097430800 in words is "five billion, ninety-seven million, four hundred thirty thousand, eight hundred".