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5032332305 = 5711131952919
BaseRepresentation
bin1001010111111001…
…10100110000010001
3110222201012222010222
410223330310300101
540301234113210
62151204202425
7235464055520
oct45374646021
913881188128
105032332305
112152690820
12b85399415
1362276c330
1435a4ba4b7
151e6be1655
hex12bf34c11

5032332305 has 64 divisors (see below), whose sum is σ = 8534937600. Its totient is φ = 2743269120.

The previous prime is 5032332289. The next prime is 5032332323.

It is a happy number.

5032332305 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5032332305 - 24 = 5032332289 is a prime.

It is a super-2 number, since 2×50323323052 = 50648736855893226050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68636 + ... + 121554.

It is an arithmetic number, because the mean of its divisors is an integer number (133358400).

Almost surely, 25032332305 is an apocalyptic number.

5032332305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5032332305 is a deficient number, since it is larger than the sum of its proper divisors (3502605295).

5032332305 is a wasteful number, since it uses less digits than its factorization.

5032332305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52974.

The product of its (nonzero) digits is 8100, while the sum is 26.

The square root of 5032332305 is about 70938.9336330904. The cubic root of 5032332305 is about 1713.6538612584.

It can be divided in two parts, 50323 and 32305, that added together give a palindrome (82628).

The spelling of 5032332305 in words is "five billion, thirty-two million, three hundred thirty-two thousand, three hundred five".

Divisors: 1 5 7 11 13 19 35 55 65 77 91 95 133 143 209 247 385 455 665 715 1001 1045 1235 1463 1729 2717 5005 7315 8645 13585 19019 52919 95095 264595 370433 582109 687947 1005461 1852165 2910545 3439735 4074763 4815629 5027305 7038227 7567417 11060071 13070993 20373815 24078145 35191135 37837085 52971919 55300355 65354965 77420497 91496951 143780923 264859595 387102485 457484755 718904615 1006466461 5032332305