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5113800864 = 253923353
BaseRepresentation
bin1001100001100111…
…00110100010100000
3111012101112000000000
410300303212202200
540433113111424
62203234300000
7240503406264
oct46063464240
914171460000
105113800864
112194675307
12ba8727600
136365c4c93
143672460a4
151ede353c9
hex130ce68a0

5113800864 has 240 divisors, whose sum is σ = 15802661952. Its totient is φ = 1625868288.

The previous prime is 5113800863. The next prime is 5113800871. The reversal of 5113800864 is 4680083115.

5113800864 is a `hidden beast` number, since 511 + 3 + 80 + 0 + 8 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5113800863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14486512 + ... + 14486864.

Almost surely, 25113800864 is an apocalyptic number.

5113800864 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 5113800864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7901330976).

5113800864 is an abundant number, since it is smaller than the sum of its proper divisors (10688861088).

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

5113800864 is an frugal number, since it uses more digits than its factorization.

5113800864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5113800864 is about 71510.8443804155. The cubic root of 5113800864 is about 1722.8518651781.

Adding to 5113800864 its reverse (4680083115), we get a palindrome (9793883979).

The spelling of 5113800864 in words is "five billion, one hundred thirteen million, eight hundred thousand, eight hundred sixty-four".