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96666893569 = 172182892
BaseRepresentation
bin101101000000111001…
…0111011110100000001
3100020111212210222210101
41122001302323310001
53040433211043234
6112224055002401
76661332016021
oct1320162736401
9306455728711
1096666893569
1137aa5a39994
1216899669401
13916710850c
144970507a81
1527ab7e7814
hex1681cbbd01

96666893569 has 9 divisors (see below), whose sum is σ = 102693283977. Its totient is φ = 90975631104.

The previous prime is 96666893539. The next prime is 96666893573. The reversal of 96666893569 is 96539866669.

The square root of 96666893569 is 310913.

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

It can be written as a sum of positive squares in 4 ways, for example, as 65093868225 + 31573025344 = 255135^2 + 177688^2 .

It is not a de Polignac number, because 96666893569 - 27 = 96666893441 is a prime.

It is a super-3 number, since 3×966668935693 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96666893509) 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, 5276377 + ... + 5294665.

Almost surely, 296666893569 is an apocalyptic number.

96666893569 is the 310913-rd square number.

96666893569 is the 155457-th centered octagonal number.

It is an amenable number.

96666893569 is a deficient number, since it is larger than the sum of its proper divisors (6026390408).

96666893569 is an frugal number, since it uses more digits than its factorization.

96666893569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36612 (or 18306 counting only the distinct ones).

The product of its digits is 680244480, while the sum is 73.

The spelling of 96666893569 in words is "ninety-six billion, six hundred sixty-six million, eight hundred ninety-three thousand, five hundred sixty-nine".

Divisors: 1 17 289 18289 310913 5285521 334487521 5686287857 96666893569