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5093031168 = 28351931139
BaseRepresentation
bin1001011111001000…
…10111110100000000
3111010221102210100000
410233210113310000
540412303444133
62201213200000
7240132023241
oct45744276400
914127383300
105093031168
112183979775
12ba1790000
13632202414
1436459acc8
151ec1d1413
hex12f917d00

5093031168 has 432 divisors, whose sum is σ = 16665958400. Its totient is φ = 1545246720.

The previous prime is 5093031157. The next prime is 5093031169. The reversal of 5093031168 is 8611303905.

It is a happy number.

5093031168 is a `hidden beast` number, since 509 + 30 + 3 + 116 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5093031169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36640443 + ... + 36640581.

Almost surely, 25093031168 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 5093031168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332979200).

5093031168 is an abundant number, since it is smaller than the sum of its proper divisors (11572927232).

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

5093031168 is a wasteful number, since it uses less digits than its factorization.

5093031168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5093031168 is about 71365.4760230744. The cubic root of 5093031168 is about 1720.5162466950.

The spelling of 5093031168 in words is "five billion, ninety-three million, thirty-one thousand, one hundred sixty-eight".