Search a number
-
+
5091709600 = 25526364637
BaseRepresentation
bin1001011110111110…
…10101001010100000
3111010211221122111001
410233133111022200
540411434201400
62201125001344
7240114550255
oct45737251240
914124848431
105091709600
11218315686a
12ba1253254
13631b5ba23
1436433542c
151ec01ea6a
hex12f7d52a0

5091709600 has 36 divisors (see below), whose sum is σ = 12430138014. Its totient is φ = 2036683520.

The previous prime is 5091709573. The next prime is 5091709613. The reversal of 5091709600 is 69071905.

It can be written as a sum of positive squares in 3 ways, for example, as 3482416144 + 1609293456 = 59012^2 + 40116^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5091709600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3181519 + ... + 3183118.

Almost surely, 25091709600 is an apocalyptic number.

5091709600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5091709600 is an abundant number, since it is smaller than the sum of its proper divisors (7338428414).

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

5091709600 is a wasteful number, since it uses less digits than its factorization.

5091709600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364657 (or 6364644 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 5091709600 is about 71356.2162674003. The cubic root of 5091709600 is about 1720.3674174524.

The spelling of 5091709600 in words is "five billion, ninety-one million, seven hundred nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 6364637 12729274 25458548 31823185 50917096 63646370 101834192 127292740 159115925 203668384 254585480 318231850 509170960 636463700 1018341920 1272927400 2545854800 5091709600