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13384173042 = 232787794397
BaseRepresentation
bin11000111011100001…
…00100010111110010
31021112202200102210200
430131300210113302
5204402322014132
610052033140030
7652446410442
oct143560442762
937482612720
1013384173042
115749020339
1227163ba616
131353b61426
1490d7b0122
1553503ad7c
hex31dc245f2

13384173042 has 24 divisors (see below), whose sum is σ = 29003030316. Its totient is φ = 4460777376.

The previous prime is 13384173037. The next prime is 13384173043. The reversal of 13384173042 is 24037148331.

13384173042 is a `hidden beast` number, since 1 + 338 + 4 + 17 + 304 + 2 = 666.

13384173042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12439163961 + 945009081 = 111531^2 + 30741^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13384172988 and 13384173006.

It is not an unprimeable number, because it can be changed into a prime (13384173043) 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, 94588 + ... + 188984.

Almost surely, 213384173042 is an apocalyptic number.

13384173042 is an abundant number, since it is smaller than the sum of its proper divisors (15618857274).

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

13384173042 is a wasteful number, since it uses less digits than its factorization.

13384173042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102282 (or 102279 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13384173042 in words is "thirteen billion, three hundred eighty-four million, one hundred seventy-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 7877 15754 23631 47262 70893 94397 141786 188794 283191 566382 849573 1699146 743565169 1487130338 2230695507 4461391014 6692086521 13384173042