Search a number
-
+
104454361637 = 41193127710337
BaseRepresentation
bin110000101000111110…
…1110001001000100101
3100222121121022100200122
41201101331301020211
53202410304033022
6115552523251325
710355322265403
oct1412175611045
9328547270618
10104454361637
1140331844a0a
12182b1679b45
139b085c71a2
1450ac88a473
152ab5310742
hex1851f71225

104454361637 has 16 divisors (see below), whose sum is σ = 107651082672. Its totient is φ = 101289492480.

The previous prime is 104454361603. The next prime is 104454361681. The reversal of 104454361637 is 736163454401.

It is a Cunningham number, because it is equal to 3231942+1.

It can be written as a sum of positive squares in 8 ways, for example, as 35838654721 + 68615706916 = 189311^2 + 261946^2 .

It is a cyclic number.

It is not a de Polignac number, because 104454361637 - 214 = 104454345253 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 (104454366637) 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 15 ways as a sum of consecutive naturals, for example, 10099733 + ... + 10110069.

It is an arithmetic number, because the mean of its divisors is an integer number (6728192667).

Almost surely, 2104454361637 is an apocalyptic number.

It is an amenable number.

104454361637 is a deficient number, since it is larger than the sum of its proper divisors (3196721035).

104454361637 is a wasteful number, since it uses less digits than its factorization.

104454361637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11848.

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 104454361637 in words is "one hundred four billion, four hundred fifty-four million, three hundred sixty-one thousand, six hundred thirty-seven".

Divisors: 1 41 193 1277 7913 10337 52357 246461 423817 1995041 10104901 13200349 81796681 541214309 2547667357 104454361637