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104456104511 = 11210316351419
BaseRepresentation
bin110000101001000010…
…0011010101000111111
3100222121201120220110112
41201102010122220333
53202411230321021
6115553024500235
710355343144563
oct1412204325077
9328551526415
10104456104511
1140332825400
12182b217a67b
139b08a87585
1450acbc16a3
152ab5556d5b
hex185211aa3f

104456104511 has 24 divisors (see below), whose sum is σ = 116643596160. Its totient is φ = 93459413520.

The previous prime is 104456104507. The next prime is 104456104513. The reversal of 104456104511 is 115401654401.

It is not a de Polignac number, because 104456104511 - 22 = 104456104507 is a prime.

It is a super-2 number, since 2×1044561045112 (a number of 23 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 (104456104513) 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 23 ways as a sum of consecutive naturals, for example, 2005760 + ... + 2057178.

It is an arithmetic number, because the mean of its divisors is an integer number (4860149840).

Almost surely, 2104456104511 is an apocalyptic number.

104456104511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104456104511 is a deficient number, since it is larger than the sum of its proper divisors (12187491649).

104456104511 is a wasteful number, since it uses less digits than its factorization.

104456104511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51707 (or 51696 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 104456104511 its reverse (115401654401), we get a palindrome (219857758912).

The spelling of 104456104511 in words is "one hundred four billion, four hundred fifty-six million, one hundred four thousand, five hundred eleven".

Divisors: 1 11 103 121 163 1133 1793 12463 16789 19723 51419 184679 565609 2031469 5296157 6221699 8381297 58257727 92194267 640834997 863273591 1014136937 9496009501 104456104511