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97164370944 = 210321721912
BaseRepresentation
bin101101001111101110…
…0101010010000000000
3100021210112220110110100
41122133130222100000
53042443034332234
6112345305402400
710006552345254
oct1323734522000
9307715813410
1097164370944
1138230833013
12169b8199400
1392161b9324
1449ba604264
1527da313399
hex169f72a400

97164370944 has 297 divisors, whose sum is σ = 299602897321. Its totient is φ = 30323343360.

The previous prime is 97164370907. The next prime is 97164370951. The reversal of 97164370944 is 44907346179.

The square root of 97164370944 is 311712.

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., 75647001600 + 21517369344 = 275040^2 + 146688^2 .

It is a super-2 number, since 2×971643709442 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 508713889 + ... + 508714079.

Almost surely, 297164370944 is an apocalyptic number.

97164370944 is the 311712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97164370944

97164370944 is an abundant number, since it is smaller than the sum of its proper divisors (202438526377).

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

97164370944 is a wasteful number, since it uses less digits than its factorization.

97164370944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 97164370944 in words is "ninety-seven billion, one hundred sixty-four million, three hundred seventy thousand, nine hundred forty-four".