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13350008376 = 2332185416783
BaseRepresentation
bin11000110111011100…
…01111011000111000
31021110101101200200200
430123232033120320
5204320100232001
610044413002200
7651553125135
oct143356173070
937411350620
1013350008376
115730805981
122706a83360
131349a5b953
1490903958c
1553203d086
hex31bb8f638

13350008376 has 24 divisors (see below), whose sum is σ = 36156272880. Its totient is φ = 4450002768.

The previous prime is 13350008359. The next prime is 13350008447. The reversal of 13350008376 is 67380005331.

13350008376 is a `hidden beast` number, since 1 + 3 + 3 + 500 + 0 + 83 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×133500083763 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13350008376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92708320 + ... + 92708463.

It is an arithmetic number, because the mean of its divisors is an integer number (1506511370).

Almost surely, 213350008376 is an apocalyptic number.

It is an amenable number.

13350008376 is an abundant number, since it is smaller than the sum of its proper divisors (22806264504).

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

13350008376 is a wasteful number, since it uses less digits than its factorization.

13350008376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185416795 (or 185416788 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13350008376 in words is "thirteen billion, three hundred fifty million, eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 185416783 370833566 556250349 741667132 1112500698 1483334264 1668751047 2225001396 3337502094 4450002792 6675004188 13350008376