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104535411012 = 223210926640013
BaseRepresentation
bin110000101011011001…
…0111100100101000100
3100222211020211002112100
41201112302330211010
53203042031123022
6120004540352100
710360325222064
oct1412662744504
9328736732470
10104535411012
114037357256a
1218314845630
139b1c3340b6
1450b95473a4
152abc4c01ac
hex1856cbc944

104535411012 has 36 divisors (see below), whose sum is σ = 266666540140. Its totient is φ = 34525455552.

The previous prime is 104535410971. The next prime is 104535411103. The reversal of 104535411012 is 210114535401.

104535411012 is a `hidden beast` number, since 1 + 0 + 4 + 535 + 4 + 110 + 12 = 666.

104535411012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26563784256 + 77971626756 = 162984^2 + 279234^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13316083 + ... + 13323930.

Almost surely, 2104535411012 is an apocalyptic number.

104535411012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104535411012 is an abundant number, since it is smaller than the sum of its proper divisors (162131129128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104535411012 is a wasteful number, since it uses less digits than its factorization.

104535411012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26640132 (or 26640127 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 104535411012 its reverse (210114535401), we get a palindrome (314649946413).

The spelling of 104535411012 in words is "one hundred four billion, five hundred thirty-five million, four hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 26640013 53280026 79920039 106560052 159840078 239760117 319680156 479520234 959040468 2903761417 5807522834 8711284251 11615045668 17422568502 26133852753 34845137004 52267705506 104535411012