Search a number
-
+
10640360503 = 174713317097
BaseRepresentation
bin10011110100011011…
…10000010000110111
31000110112201022121001
421322031300100313
5133242413014003
64515455504131
7524451400123
oct117215602067
930415638531
1010640360503
11457022a373
12208b528047
131007577a06
1472d214583
154241ee61d
hex27a370437

10640360503 has 8 divisors (see below), whose sum is σ = 11505972672. Its totient is φ = 9801382656.

The previous prime is 10640360491. The next prime is 10640360519. The reversal of 10640360503 is 30506304601.

10640360503 is digitally balanced in base 2, 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 not a de Polignac number, because 10640360503 - 225 = 10606806071 is a prime.

It is a super-2 number, since 2×106403605032 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10640360593) 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, 6657750 + ... + 6659347.

It is an arithmetic number, because the mean of its divisors is an integer number (1438246584).

Almost surely, 210640360503 is an apocalyptic number.

10640360503 is a deficient number, since it is larger than the sum of its proper divisors (865612169).

10640360503 is a wasteful number, since it uses less digits than its factorization.

10640360503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13317161.

The product of its (nonzero) digits is 6480, while the sum is 28.

It can be divided in two parts, 106 and 40360503, that added together give a square (40360609 = 63532).

The spelling of 10640360503 in words is "ten billion, six hundred forty million, three hundred sixty thousand, five hundred three".

Divisors: 1 17 47 799 13317097 226390649 625903559 10640360503