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97943335681 = 131223892
BaseRepresentation
bin101101100110111100…
…0001011001100000001
3100100210211122222012011
41123031320023030001
53101041443220211
6112554453332521
710035061421422
oct1331570131401
9310724588164
1097943335681
11385a0506824
1216b95037141
13930b6b57c9
144a51c55649
1528338d2921
hex16cde0b301

97943335681 has 9 divisors (see below), whose sum is σ = 98738032323. Its totient is φ = 97154991960.

The previous prime is 97943335669. The next prime is 97943335703. The reversal of 97943335681 is 18653334979.

The square root of 97943335681 is 312959.

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

It can be written as a sum of positive squares in only one way, i.e., 22263325681 + 75680010000 = 149209^2 + 275100^2 .

It is not a de Polignac number, because 97943335681 - 221 = 97941238529 is a prime.

It is a super-2 number, since 2×979433356812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (14696640) is a multiple of the sum of its prime divisors (2520).

It is not an unprimeable number, because it can be changed into a prime (97943335601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40996435 + ... + 40998823.

Almost surely, 297943335681 is an apocalyptic number.

97943335681 is the 312959-th square number.

97943335681 is the 156480-th centered octagonal number.

It is an amenable number.

97943335681 is a deficient number, since it is larger than the sum of its proper divisors (794696642).

97943335681 is an frugal number, since it uses more digits than its factorization.

97943335681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040 (or 2520 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 58.

The spelling of 97943335681 in words is "ninety-seven billion, nine hundred forty-three million, three hundred thirty-five thousand, six hundred eighty-one".

Divisors: 1 131 2389 17161 312959 5707321 40997629 747659051 97943335681