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83106727441 = 157821644753
BaseRepresentation
bin100110101100110001…
…1000000011000010001
321221111211222011212021
41031121203000120101
52330200310234231
6102102333331441
76001314346003
oct1153143003021
9257454864767
1083106727441
1132277643421
1214134336b81
137ab5976c8a
144045604373
1522660e5811
hex13598c0611

83106727441 has 8 divisors (see below), whose sum is σ = 83738070504. Its totient is φ = 82476675840.

The previous prime is 83106727367. The next prime is 83106727463. The reversal of 83106727441 is 14472760138.

It can be written as a sum of positive squares in 4 ways, for example, as 266375041 + 82840352400 = 16321^2 + 287820^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83106727441 - 223 = 83098338833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83106727481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193480 + ... + 451273.

It is an arithmetic number, because the mean of its divisors is an integer number (10467258813).

Almost surely, 283106727441 is an apocalyptic number.

It is an amenable number.

83106727441 is a deficient number, since it is larger than the sum of its proper divisors (631343063).

83106727441 is a wasteful number, since it uses less digits than its factorization.

83106727441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645731.

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 83106727441 in words is "eighty-three billion, one hundred six million, seven hundred twenty-seven thousand, four hundred forty-one".

Divisors: 1 157 821 128897 644753 101226221 529342213 83106727441