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35068929289 = 40124672
BaseRepresentation
bin100000101010010001…
…010110010100001001
310100112000101012010221
4200222101112110021
51033310121214124
624035504510041
72351016660232
oct405221262411
9110460335127
1035068929289
1113966550699
12696861b321
1333cb5a9044
1419a9730089
15da3b48ce4
hex82a456509

35068929289 has 9 divisors (see below), whose sum is σ = 35232044071. Its totient is φ = 34906568800.

The previous prime is 35068929271. The next prime is 35068929293. The reversal of 35068929289 is 98292986053.

The square root of 35068929289 is 187267.

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., 34719986889 + 348942400 = 186333^2 + 18680^2 .

It is not a de Polignac number, because 35068929289 - 221 = 35066832137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35068929239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 75093834 + ... + 75094300.

Almost surely, 235068929289 is an apocalyptic number.

35068929289 is the 187267-th square number.

35068929289 is the 93634-th centered octagonal number.

It is an amenable number.

35068929289 is a deficient number, since it is larger than the sum of its proper divisors (163114782).

35068929289 is an frugal number, since it uses more digits than its factorization.

35068929289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 61.

The spelling of 35068929289 in words is "thirty-five billion, sixty-eight million, nine hundred twenty-nine thousand, two hundred eighty-nine".

Divisors: 1 401 467 160801 187267 218089 75094067 87453689 35068929289