Search a number
-
+
10640104601 = 76012529143
BaseRepresentation
bin10011110100011001…
…10001110010011001
31000110112020022120012
421322030301302121
5133242331321401
64515450211305
7524446253060
oct117214616231
930415208505
1010640104601
114570075085
12208b423b35
1310074b83a9
1472d1891d7
1542419d8bb
hex27a331c99

10640104601 has 8 divisors (see below), whose sum is σ = 12180357504. Its totient is φ = 9104911200.

The previous prime is 10640104583. The next prime is 10640104603.

10640104601 is nontrivially palindromic in base 10.

10640104601 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 not a de Polignac number, because 10640104601 - 26 = 10640104537 is a prime.

It is a super-2 number, since 2×106401046012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10640104603) 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, 1260365 + ... + 1268778.

It is an arithmetic number, because the mean of its divisors is an integer number (1522544688).

Almost surely, 210640104601 is an apocalyptic number.

It is an amenable number.

10640104601 is a deficient number, since it is larger than the sum of its proper divisors (1540252903).

10640104601 is an equidigital number, since it uses as much as digits as its factorization.

10640104601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529751.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 10640104601 in words is "ten billion, six hundred forty million, one hundred four thousand, six hundred one".

Divisors: 1 7 601 4207 2529143 17704001 1520014943 10640104601