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5115423264 = 253727727481
BaseRepresentation
bin1001100001110011…
…10010101000100000
3111012111120102111220
410300321302220200
540434022021024
62203333135040
7240523244310
oct46071625040
914174512456
105115423264
112195583236
12ba918a480
13636a42593
14367549440
151ee155e79
hex130e72a20

5115423264 has 96 divisors (see below), whose sum is σ = 15402231936. Its totient is φ = 1456220160.

The previous prime is 5115423263. The next prime is 5115423293. The reversal of 5115423264 is 4623245115.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5115423263) 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 15 ways as a sum of consecutive naturals, for example, 172404 + ... + 199884.

It is an arithmetic number, because the mean of its divisors is an integer number (160439916).

Almost surely, 25115423264 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 5115423264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7701115968).

5115423264 is an abundant number, since it is smaller than the sum of its proper divisors (10286808672).

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

5115423264 is a wasteful number, since it uses less digits than its factorization.

5115423264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27778 (or 27770 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 5115423264 is about 71522.1872148776. The cubic root of 5115423264 is about 1723.0340427401.

Adding to 5115423264 its reverse (4623245115), we get a palindrome (9738668379).

The spelling of 5115423264 in words is "five billion, one hundred fifteen million, four hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 277 336 554 672 831 1108 1662 1939 2216 3324 3878 4432 5817 6648 7756 8864 11634 13296 15512 23268 26592 27481 31024 46536 54962 62048 82443 93072 109924 164886 186144 192367 219848 329772 384734 439696 577101 659544 769468 879392 1154202 1319088 1538936 2308404 2638176 3077872 4616808 6155744 7612237 9233616 15224474 18467232 22836711 30448948 45673422 53285659 60897896 91346844 106571318 121795792 159856977 182693688 213142636 243591584 319713954 365387376 426285272 639427908 730774752 852570544 1278855816 1705141088 2557711632 5115423264