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7338116313 = 3211307241441
BaseRepresentation
bin1101101010110001…
…01100010011011001
3200221101221221011200
412311120230103121
5110012024210223
63212053144413
7346562650053
oct66530542331
920841857150
107338116313
1131261a2440
12150962b109
138cc38b078
144d88128d3
152ce356a43
hex1b562c4d9

7338116313 has 24 divisors (see below), whose sum is σ = 11600805216. Its totient is φ = 4432838400.

The previous prime is 7338116311. The next prime is 7338116323. The reversal of 7338116313 is 3136118337.

It is a happy number.

7338116313 is a `hidden beast` number, since 7 + 3 + 3 + 8 + 11 + 631 + 3 = 666.

It is not a de Polignac number, because 7338116313 - 21 = 7338116311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7338116311) 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, 90328 + ... + 151113.

It is an arithmetic number, because the mean of its divisors is an integer number (483366884).

Almost surely, 27338116313 is an apocalyptic number.

It is an amenable number.

7338116313 is a deficient number, since it is larger than the sum of its proper divisors (4262688903).

7338116313 is a wasteful number, since it uses less digits than its factorization.

7338116313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241765 (or 241762 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 7338116313 is about 85662.8058903046. The cubic root of 7338116313 is about 1943.2478554303.

The spelling of 7338116313 in words is "seven billion, three hundred thirty-eight million, one hundred sixteen thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 99 307 921 2763 3377 10131 30393 241441 724323 2172969 2655851 7967553 23902659 74122387 222367161 667101483 815346257 2446038771 7338116313