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32685385681 = 132139072
BaseRepresentation
bin11110011100001100…
…110110011111010001
310010100220022122000001
4132130030312133101
51013414424320211
623003201130001
72234655123424
oct363414663721
9103326278001
1032685385681
1112953059043
126402329901
13310b832900
141820d559bb
15cb4773ac1
hex79c3367d1

32685385681 has 9 divisors (see below), whose sum is σ = 35395595931. Its totient is φ = 30168955752.

The previous prime is 32685385643. The next prime is 32685385717. The reversal of 32685385681 is 18658358623.

The square root of 32685385681 is 180791.

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., 4835116225 + 27850269456 = 69535^2 + 166884^2 .

It is a de Polignac number, because none of the positive numbers 2k-32685385681 is a prime.

It is a super-2 number, since 2×326853856812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32685380681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2343330 + ... + 2357236.

Almost surely, 232685385681 is an apocalyptic number.

32685385681 is the 180791-st square number.

32685385681 is the 90396-th centered octagonal number.

It is an amenable number.

32685385681 is a deficient number, since it is larger than the sum of its proper divisors (2710210250).

32685385681 is an frugal number, since it uses more digits than its factorization.

32685385681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27840 (or 13920 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 55.

The spelling of 32685385681 in words is "thirty-two billion, six hundred eighty-five million, three hundred eighty-five thousand, six hundred eighty-one".

Divisors: 1 13 169 13907 180791 2350283 193404649 2514260437 32685385681