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9093114113909 = 7311312267141101
BaseRepresentation
bin1000010001010010011111…
…0101100010111101110101
31012012021220202102220122212
42010110213311202331311
52142440144203121114
631201152521103205
71625645562452150
oct204244765427565
935167822386585
109093114113909
112996405951081
12102a381627b05
1350c627c0c207
14236175412c97
1510b7ed13db3e
hex84527d62f75

9093114113909 has 32 divisors (see below), whose sum is σ = 10814093402112. Its totient is φ = 7481742840000.

The previous prime is 9093114113887. The next prime is 9093114113921.

It is a happy number.

9093114113909 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9093114113909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9093114113509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64373459 + ... + 64514559.

It is an arithmetic number, because the mean of its divisors is an integer number (337940418816).

Almost surely, 29093114113909 is an apocalyptic number.

It is an amenable number.

9093114113909 is a deficient number, since it is larger than the sum of its proper divisors (1720979288203).

9093114113909 is a wasteful number, since it uses less digits than its factorization.

9093114113909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143537.

The product of its (nonzero) digits is 236196, while the sum is 50.

The spelling of 9093114113909 in words is "nine trillion, ninety-three billion, one hundred fourteen million, one hundred thirteen thousand, nine hundred nine".

Divisors: 1 7 31 131 217 917 2267 4061 15869 28427 70277 141101 296977 491939 987707 2078839 4374131 9206287 18484231 30618917 64444009 129389617 319875967 573011161 2239131769 4011078127 9916154977 41903751677 69413084839 293326261739 1299016301987 9093114113909