82726483068100 has 27 divisors (see below), whose sum is σ = 179516665628391. Its totient is φ = 33090556845600.

The previous prime is 82726483067929. The next prime is 82726483068107. The reversal of 82726483068100 is 186038462728.

The square root of 82726483068100 is 9095410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1929971106756 + 80796511961344 = 1389234^2 + 8988688^2 .

It is a super-2 number, since 2×82726483068100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82726483068107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90499330 + ... + 91408870.

Almost surely, 2^{82726483068100} is an apocalyptic number.

82726483068100 is the 9095410-th square number.

It is an amenable number.

82726483068100 is an abundant number, since it is smaller than the sum of its proper divisors (96790182560291).

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

82726483068100 is an frugal number, since it uses more digits than its factorization.

82726483068100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819096 (or 909548 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 82726483068100 in words is "eighty-two trillion, seven hundred twenty-six billion, four hundred eighty-three million, sixty-eight thousand, one hundred".