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83126262138 = 2359927898293
BaseRepresentation
bin100110101101010110…
…1100001100101111010
321221120012201122102120
41031122231201211322
52330220310342023
6102104312142110
76001642366323
oct1153255414572
9257505648376
1083126262138
11322876760a7
121413a997936
137ab9a2667a
14404804b44a
152267ba38e3
hex135ab6197a

83126262138 has 32 divisors (see below), whose sum is σ = 166609872000. Its totient is φ = 27649242816.

The previous prime is 83126262133. The next prime is 83126262143.

83126262138 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (83126262133) and next prime (83126262143).

It is a super-4 number, since 4×831262621384 (a number of 45 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83126262138.

It is not an unprimeable number, because it can be changed into a prime (83126262133) 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, 10019520 + ... + 10027812.

It is an arithmetic number, because the mean of its divisors is an integer number (5206558500).

Almost surely, 283126262138 is an apocalyptic number.

83126262138 is an abundant number, since it is smaller than the sum of its proper divisors (83483609862).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83126262138 is a wasteful number, since it uses less digits than its factorization.

83126262138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11686.

The product of its digits is 165888, while the sum is 42.

The spelling of 83126262138 in words is "eighty-three billion, one hundred twenty-six million, two hundred sixty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 599 1198 1797 2789 3594 5578 8293 8367 16586 16734 24879 49758 1670611 3341222 4967507 5011833 9935014 10023666 14902521 23129177 29805042 46258354 69387531 138775062 13854377023 27708754046 41563131069 83126262138