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5005035311 = 47993110723
BaseRepresentation
bin1001010100101001…
…01100011100101111
3110220210212010201012
410222110230130233
540222242112221
62144351135435
7235013045453
oct45224543457
913823763635
105005035311
112139237121
12b7821457b
13619c02773
14356a12663
151e45ed65b
hex12a52c72f

5005035311 has 8 divisors (see below), whose sum is σ = 5112516864. Its totient is φ = 4897595160.

The previous prime is 5005035253. The next prime is 5005035323. The reversal of 5005035311 is 1135305005.

5005035311 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5005035311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005032311) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 461396 + ... + 472118.

It is an arithmetic number, because the mean of its divisors is an integer number (639064608).

Almost surely, 25005035311 is an apocalyptic number.

5005035311 is a deficient number, since it is larger than the sum of its proper divisors (107481553).

5005035311 is a wasteful number, since it uses less digits than its factorization.

5005035311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20701.

The product of its (nonzero) digits is 1125, while the sum is 23.

The square root of 5005035311 is about 70746.2741845816. The cubic root of 5005035311 is about 1710.5497714736.

The spelling of 5005035311 in words is "five billion, five million, thirty-five thousand, three hundred eleven".

Divisors: 1 47 9931 10723 466757 503981 106490113 5005035311