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5118466464 = 2536313701
BaseRepresentation
bin1001100010001010…
…11001100110100000
3111012201022001000000
410301011121212200
540440311411324
62203522300000
7240561150516
oct46105314640
914181261000
105118466464
112197271681
12baa1b7600
136375697a7
14367adc4b6
151ee5579c9
hex1311599a0

5118466464 has 168 divisors, whose sum is σ = 15178451652. Its totient is φ = 1698278400.

The previous prime is 5118466439. The next prime is 5118466469. The reversal of 5118466464 is 4646648115.

5118466464 is a `hidden beast` number, since 5 + 1 + 184 + 6 + 6 + 464 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5004147600 + 114318864 = 70740^2 + 10692^2 .

It is not an unprimeable number, because it can be changed into a prime (5118466469) 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 27 ways as a sum of consecutive naturals, for example, 7301314 + ... + 7302014.

Almost surely, 25118466464 is an apocalyptic number.

5118466464 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 5118466464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7589225826).

5118466464 is an abundant number, since it is smaller than the sum of its proper divisors (10059985188).

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

5118466464 is an equidigital number, since it uses as much as digits as its factorization.

5118466464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1019 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 5118466464 is about 71543.4585689006. The cubic root of 5118466464 is about 1723.3756565530.

The spelling of 5118466464 in words is "five billion, one hundred eighteen million, four hundred sixty-six thousand, four hundred sixty-four".