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97659713081 = 721925520929
BaseRepresentation
bin101101011110011111…
…0001111011000111001
3100100002001222110010102
41122330332033120321
53100001341304311
6112510402325145
710025045602400
oct1327476173071
9310061873112
1097659713081
11384653a8987
1216b160597b5
139294a00298
144a26306637
152818a5b43b
hex16bcf8f639

97659713081 has 18 divisors (see below), whose sum is σ = 119898036810. Its totient is φ = 79302609792.

The previous prime is 97659713029. The next prime is 97659713087. The reversal of 97659713081 is 18031795679.

It can be written as a sum of positive squares in only one way, i.e., 97272253225 + 387459856 = 311885^2 + 19684^2 .

It is not a de Polignac number, because 97659713081 - 210 = 97659712057 is a prime.

It is a super-2 number, since 2×976597130812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97659713087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2742776 + ... + 2778153.

It is an arithmetic number, because the mean of its divisors is an integer number (6661002045).

Almost surely, 297659713081 is an apocalyptic number.

It is an amenable number.

97659713081 is a deficient number, since it is larger than the sum of its proper divisors (22238323729).

97659713081 is a wasteful number, since it uses less digits than its factorization.

97659713081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520981 (or 5520955 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 56.

The spelling of 97659713081 in words is "ninety-seven billion, six hundred fifty-nine million, seven hundred thirteen thousand, eighty-one".

Divisors: 1 7 19 49 133 361 931 2527 17689 5520929 38646503 104897651 270525521 734283557 1993055369 5139984899 13951387583 97659713081