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10814976696 = 2333128435113
BaseRepresentation
bin10100001001001111…
…10111001010111000
31000220201021201222110
422010213313022320
5134122113223241
64545054252320
7532001533206
oct120447671270
930821251873
1010814976696
11464a855077
122119ab70a0
1310347b51c4
147484aa076
154346e2816
hex2849f72b8

10814976696 has 64 divisors (see below), whose sum is σ = 27924894720. Its totient is φ = 3486792960.

The previous prime is 10814976691. The next prime is 10814976773. The reversal of 10814976696 is 69667941801.

10814976696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10814976691) 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, 2112636 + ... + 2117748.

It is an arithmetic number, because the mean of its divisors is an integer number (436326480).

Almost surely, 210814976696 is an apocalyptic number.

It is an amenable number.

10814976696 is an abundant number, since it is smaller than the sum of its proper divisors (17109918024).

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

10814976696 is a wasteful number, since it uses less digits than its factorization.

10814976696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7996 (or 7992 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 10814976696 in words is "ten billion, eight hundred fourteen million, nine hundred seventy-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 2843 5113 5686 8529 10226 11372 15339 17058 20452 22744 30678 34116 40904 61356 68232 88133 122712 158503 176266 264399 317006 352532 475509 528798 634012 705064 951018 1057596 1268024 1902036 2115192 3804072 14536259 29072518 43608777 58145036 87217554 116290072 174435108 348870216 450624029 901248058 1351872087 1802496116 2703744174 3604992232 5407488348 10814976696