Search a number
-
+
104635428677 = 1311097257781
BaseRepresentation
bin110000101110011000…
…0011110111101000101
3101000002020000111222022
41201130300132331011
53203243132204202
6120022512212525
710362651316553
oct1413460367505
9330066014868
10104635428677
1140414a7629a
121834223a145
139b36c82950
1450c8940bd3
152ac6179ea2
hex185cc1ef45

104635428677 has 8 divisors (see below), whose sum is σ = 112785932280. Its totient is φ = 96499442880.

The previous prime is 104635428629. The next prime is 104635428691. The reversal of 104635428677 is 776824536401.

It is a Cunningham number, because it is equal to 3234742+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1691347876 + 102944080801 = 41126^2 + 320849^2 .

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 104635428677 - 26 = 104635428613 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 (104635422677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3614474 + ... + 3643307.

It is an arithmetic number, because the mean of its divisors is an integer number (14098241535).

Almost surely, 2104635428677 is an apocalyptic number.

It is an amenable number.

104635428677 is a deficient number, since it is larger than the sum of its proper divisors (8150503603).

104635428677 is a wasteful number, since it uses less digits than its factorization.

104635428677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7258903.

The product of its (nonzero) digits is 6773760, while the sum is 53.

The spelling of 104635428677 in words is "one hundred four billion, six hundred thirty-five million, four hundred twenty-eight thousand, six hundred seventy-seven".

Divisors: 1 13 1109 14417 7257781 94351153 8048879129 104635428677