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83799201149 = 1946130193169
BaseRepresentation
bin100111000001011010…
…0100101010101111101
322000022002222111012122
41032002310211111331
52333110043414044
6102255151412325
76024423312536
oct1160264452575
9260262874178
1083799201149
11325a2512144
12142a82240a5
137b9627c731
1440ad57d68d
1522a6cccdee
hex1382d2557d

83799201149 has 16 divisors (see below), whose sum is σ = 88458216000. Its totient is φ = 79165278720.

The previous prime is 83799201127. The next prime is 83799201151. The reversal of 83799201149 is 94110299738.

It is a cyclic number.

It is not a de Polignac number, because 83799201149 - 228 = 83530765693 is a prime.

It is a super-3 number, since 3×837992011493 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83799201149.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83799201119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26441837 + ... + 26445005.

It is an arithmetic number, because the mean of its divisors is an integer number (5528638500).

Almost surely, 283799201149 is an apocalyptic number.

It is an amenable number.

83799201149 is a deficient number, since it is larger than the sum of its proper divisors (4659014851).

83799201149 is a wasteful number, since it uses less digits than its factorization.

83799201149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6668.

The product of its (nonzero) digits is 979776, while the sum is 53.

The spelling of 83799201149 in words is "eighty-three billion, seven hundred ninety-nine million, two hundred one thousand, one hundred forty-nine".

Divisors: 1 19 461 3019 3169 8759 57361 60211 1391759 1460909 9567211 26443421 27757271 181777009 4410484271 83799201149