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393812218393 = 1124105179283
BaseRepresentation
bin1011011101100010000…
…10011001001000011001
31101122111110011111101021
411232301002121020121
522423011411442033
6500525334322441
740311014424256
oct5566102311031
91348443144337
10393812218393
11142018804500
12643a6ab9421
132b1a06a57c9
14150bc47242d
15a39d56bb2d
hex5bb1099219

393812218393 has 12 divisors (see below), whose sum is σ = 432883980144. Its totient is φ = 357997871000.

The previous prime is 393812218367. The next prime is 393812218451.

393812218393 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 393812218393 - 29 = 393812217881 is a prime.

It is a super-3 number, since 3×3938122183933 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 393812218393.

It is not an unprimeable number, because it can be changed into a prime (393812218193) 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 11 ways as a sum of consecutive naturals, for example, 4927530 + ... + 5006812.

It is an arithmetic number, because the mean of its divisors is an integer number (36073665012).

Almost surely, 2393812218393 is an apocalyptic number.

It is an amenable number.

393812218393 is a deficient number, since it is larger than the sum of its proper divisors (39071761751).

393812218393 is a wasteful number, since it uses less digits than its factorization.

393812218393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120356 (or 120345 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 52.

The spelling of 393812218393 in words is "three hundred ninety-three billion, eight hundred twelve million, two hundred eighteen thousand, three hundred ninety-three".

Divisors: 1 11 121 41051 79283 451561 872113 4967171 9593243 3254646433 35801110763 393812218393