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5350593024 = 2934722633
BaseRepresentation
bin1001111101110101…
…11001001000000000
3111210220002021210000
410332322321020000
541424222434044
62242533440000
7246410201400
oct47672711000
914726067700
105350593024
1122a62a7807
121053aa0000
1367369199a
1438a884800
15214b0ad69
hex13eeb9200

5350593024 has 300 divisors, whose sum is σ = 18584532054. Its totient is φ = 1528160256.

The previous prime is 5350593023. The next prime is 5350593037. The reversal of 5350593024 is 4203950535.

It can be written as a sum of positive squares in only one way, i.e., 5121978624 + 228614400 = 71568^2 + 15120^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5350593024.

It is not an unprimeable number, because it can be changed into a prime (5350593023) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2030812 + ... + 2033444.

Almost surely, 25350593024 is an apocalyptic number.

5350593024 is a gapful number since it is divisible by the number (54) 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 5350593024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9292266027).

5350593024 is an abundant number, since it is smaller than the sum of its proper divisors (13233939030).

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

5350593024 is an equidigital number, since it uses as much as digits as its factorization.

5350593024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 5350593024 is about 73147.7479079158. The cubic root of 5350593024 is about 1749.0436160932.

The spelling of 5350593024 in words is "five billion, three hundred fifty million, five hundred ninety-three thousand, twenty-four".