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82999770399 = 32713857118253
BaseRepresentation
bin100110101001100101…
…0111111110100011111
321221020101201012101100
41031103022333310133
52324440420123044
6102043553044143
75665545256620
oct1152312776437
9257211635340
1082999770399
113222222aa77
1214104556653
137a997689a0
144035321a47
15225ba19869
hex13532bfd1f

82999770399 has 48 divisors (see below), whose sum is σ = 147728572992. Its totient is φ = 43728643584.

The previous prime is 82999770389. The next prime is 82999770409. The reversal of 82999770399 is 99307799928.

82999770399 is a `hidden beast` number, since 82 + 9 + 9 + 97 + 70 + 399 = 666.

It is an interprime number because it is at equal distance from previous prime (82999770389) and next prime (82999770409).

It is not a de Polignac number, because 82999770399 - 225 = 82966215967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82999770389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642757 + ... + 761009.

It is an arithmetic number, because the mean of its divisors is an integer number (3077678604).

Almost surely, 282999770399 is an apocalyptic number.

82999770399 is a deficient number, since it is larger than the sum of its proper divisors (64728802593).

82999770399 is a wasteful number, since it uses less digits than its factorization.

82999770399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119136 (or 119133 counting only the distinct ones).

The product of its (nonzero) digits is 138883248, while the sum is 72.

The spelling of 82999770399 in words is "eighty-two billion, nine hundred ninety-nine million, seven hundred seventy thousand, three hundred ninety-nine".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 857 2571 5999 7713 11141 17997 33423 53991 77987 100269 118253 233961 354759 701883 827771 1064277 1537289 2483313 4611867 7449939 10761023 13835601 32283069 96849207 101342821 304028463 709399747 912085389 1317456673 2128199241 3952370019 6384597723 9222196711 11857110057 27666590133 82999770399