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97738142065 = 5149131192137
BaseRepresentation
bin101101100000110100…
…1011011000101110001
3100100021112120001110121
41123001221123011301
53100131431021230
6112522243330241
710030020333334
oct1330151330561
9310245501417
1097738142065
11384a56a6823
1216b38380981
1392a8030575
144a328c061b
15282089e77a
hex16c1a5b171

97738142065 has 8 divisors (see below), whose sum is σ = 118072924200. Its totient is φ = 77665744512.

The previous prime is 97738142063. The next prime is 97738142093. The reversal of 97738142065 is 56024183779.

97738142065 = 2210632 + 2210642.

It can be written as a sum of positive squares in 4 ways, for example, as 4146200881 + 93591941184 = 64391^2 + 305928^2 .

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 97738142065 - 21 = 97738142063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97738142063) 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, 65595324 + ... + 65596813.

It is an arithmetic number, because the mean of its divisors is an integer number (14759115525).

It is a 2-persistent number, because it is pandigital, and so is 2⋅97738142065 = 195476284130, but 3⋅97738142065 = 293214426195 is not.

Almost surely, 297738142065 is an apocalyptic number.

97738142065 is the 221064-th centered square number.

It is an amenable number.

97738142065 is a deficient number, since it is larger than the sum of its proper divisors (20334782135).

97738142065 is a wasteful number, since it uses less digits than its factorization.

97738142065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131192291.

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 97738142065 in words is "ninety-seven billion, seven hundred thirty-eight million, one hundred forty-two thousand, sixty-five".

Divisors: 1 5 149 745 131192137 655960685 19547628413 97738142065