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5114753280 = 2832572131741
BaseRepresentation
bin1001100001101110…
…01111000100000000
3111012110022101110200
410300313033010000
540433334101110
62203310525200
7240514454100
oct46067170400
914173271420
105114753280
11219516592a
12ba8b06800
13636869640
14367413200
151ee0726c0
hex130dcf100

5114753280 has 1296 divisors, whose sum is σ = 24045853104. Its totient is φ = 990904320.

The previous prime is 5114753269. The next prime is 5114753291. The reversal of 5114753280 is 823574115.

5114753280 is a `hidden beast` number, since 5 + 1 + 1 + 47 + 532 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5114753269) and next prime (5114753291).

It can be written as a sum of positive squares in 8 ways, for example, as 777740544 + 4337012736 = 27888^2 + 65856^2 .

It is a super-2 number, since 2×51147532802 = 52321402230541516800, which contains 22 as substring.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 124750060 + ... + 124750100.

It is an arithmetic number, because the mean of its divisors is an integer number (18553899).

Almost surely, 25114753280 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 5114753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12022926552).

5114753280 is an abundant number, since it is smaller than the sum of its proper divisors (18931099824).

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

5114753280 is a wasteful number, since it uses less digits than its factorization.

5114753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5114753280 is about 71517.5033121263. The cubic root of 5114753280 is about 1722.9588156225.

The spelling of 5114753280 in words is "five billion, one hundred fourteen million, seven hundred fifty-three thousand, two hundred eighty".