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114791296807 = 11419723910979
BaseRepresentation
bin110101011101000011…
…0000010111100100111
3101222022000002001222101
41222322012002330213
53340043032444212
6124422343512531
711202430631545
oct1527206027447
9358260061871
10114791296807
1144756770340
121a2b7458747
13aa95044c85
1457ad678d95
152ebca76157
hex1aba182f27

114791296807 has 32 divisors (see below), whose sum is σ = 130157798400. Its totient is φ = 100330137600.

The previous prime is 114791296801. The next prime is 114791296817. The reversal of 114791296807 is 708692197411.

It is a happy number.

It is not a de Polignac number, because 114791296807 - 223 = 114782908199 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 (114791296801) 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 31 ways as a sum of consecutive naturals, for example, 10450044 + ... + 10461022.

It is an arithmetic number, because the mean of its divisors is an integer number (4067431200).

Almost surely, 2114791296807 is an apocalyptic number.

114791296807 is a deficient number, since it is larger than the sum of its proper divisors (15366501593).

114791296807 is a wasteful number, since it uses less digits than its factorization.

114791296807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11367.

The product of its (nonzero) digits is 1524096, while the sum is 55.

The spelling of 114791296807 in words is "one hundred fourteen billion, seven hundred ninety-one million, two hundred ninety-six thousand, eight hundred seven".

Divisors: 1 11 41 97 239 451 1067 2629 3977 9799 10979 23183 43747 107789 120769 255013 450139 950503 1064963 2623981 4951529 10455533 11714593 28863791 43663483 107583221 254526157 480298313 1183415431 2799787727 10435572437 114791296807