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83092984013 = 13171243330241
BaseRepresentation
bin100110101100010111…
…0100101000011001101
321221110220002221102102
41031120232211003031
52330133300442023
6102101123004445
76001056465464
oct1153056450315
9257426087372
1083092984013
113226a906816
121412b809725
137ab2b74580
1440438679db
152264ccd628
hex1358ba50cd

83092984013 has 16 divisors (see below), whose sum is σ = 94759315056. Its totient is φ = 72181186560.

The previous prime is 83092984001. The next prime is 83092984021. The reversal of 83092984013 is 31048929038.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15554330089 + 67538653924 = 124717^2 + 259882^2 .

It is a cyclic number.

It is not a de Polignac number, because 83092984013 - 228 = 82824548557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83092984033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2732573 + ... + 2762813.

It is an arithmetic number, because the mean of its divisors is an integer number (5922457191).

Almost surely, 283092984013 is an apocalyptic number.

It is an amenable number.

83092984013 is a deficient number, since it is larger than the sum of its proper divisors (11666331043).

83092984013 is a wasteful number, since it uses less digits than its factorization.

83092984013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42704.

The product of its (nonzero) digits is 373248, while the sum is 47.

The spelling of 83092984013 in words is "eighty-three billion, ninety-two million, nine hundred eighty-four thousand, thirteen".

Divisors: 1 13 17 221 12433 30241 161629 211361 393133 514097 2747693 6683261 375986353 4887822589 6391768001 83092984013