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83158086397 = 17113212920333
BaseRepresentation
bin100110101110010011…
…0111011001011111101
321221122102121111002211
41031130212323023331
52330301432231042
6102111410220421
76002510033401
oct1153446731375
9257572544084
1083158086397
11322a3632141
1214149584711
137ac34b9aa9
14404c373101
15226a88d017
hex135c9bb2fd

83158086397 has 16 divisors (see below), whose sum is σ = 88875033840. Its totient is φ = 77533560832.

The previous prime is 83158086373. The next prime is 83158086419. The reversal of 83158086397 is 79368085138.

It can be written as a sum of positive squares in 8 ways, for example, as 3136441 + 83154949956 = 1771^2 + 288366^2 .

It is not a de Polignac number, because 83158086397 - 231 = 81010602749 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 (83158086797) 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 15 ways as a sum of consecutive naturals, for example, 4079643 + ... + 4099975.

It is an arithmetic number, because the mean of its divisors is an integer number (5554689615).

Almost surely, 283158086397 is an apocalyptic number.

It is an amenable number.

83158086397 is a deficient number, since it is larger than the sum of its proper divisors (5716947443).

83158086397 is a wasteful number, since it uses less digits than its factorization.

83158086397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22592.

The product of its (nonzero) digits is 8709120, while the sum is 58.

The spelling of 83158086397 in words is "eighty-three billion, one hundred fifty-eight million, eighty-six thousand, three hundred ninety-seven".

Divisors: 1 17 113 1921 2129 20333 36193 240577 345661 2297629 4089809 39059693 43288957 735912269 4891652141 83158086397