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983323134401 = 19259119974469
BaseRepresentation
bin11100100111100101010…
…00000100100111000001
310111000010110221212122012
432103302220010213001
5112102321210300101
62031422111222305
7131020443506426
oct16236250044701
93430113855565
10983323134401
1134a030301a43
1213a6a8b17995
137195b21322a
143584363dd4d
151a8a261cbbb
hexe4f2a049c1

983323134401 has 8 divisors (see below), whose sum is σ = 1035476524800. Its totient is φ = 931209698160.

The previous prime is 983323134371. The next prime is 983323134407. The reversal of 983323134401 is 104431323389.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 983323134401 - 26 = 983323134337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (983323134407) 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 7 ways as a sum of consecutive naturals, for example, 9938006 + ... + 10036463.

It is an arithmetic number, because the mean of its divisors is an integer number (129434565600).

Almost surely, 2983323134401 is an apocalyptic number.

It is an amenable number.

983323134401 is a deficient number, since it is larger than the sum of its proper divisors (52153390399).

983323134401 is a wasteful number, since it uses less digits than its factorization.

983323134401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19977079.

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 983323134401 in words is "nine hundred eighty-three billion, three hundred twenty-three million, one hundred thirty-four thousand, four hundred one".

Divisors: 1 19 2591 49229 19974469 379514911 51753849179 983323134401