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32205532681 = 723128272
BaseRepresentation
bin11101111111100110…
…010110111000001001
310002010110101120102201
4131333212112320021
51011424104021211
622443420200201
72220040340200
oct357746267011
9102113346381
1032205532681
1112727202413
1262a9699061
1330632b2b1a
1417b7326237
15c8758a0c1
hex77f996e09

32205532681 has 27 divisors (see below), whose sum is σ = 38757930957. Its totient is φ = 26681964120.

The previous prime is 32205532679. The next prime is 32205532687. The reversal of 32205532681 is 18623550223.

The square root of 32205532681 is 179459.

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

It is not a de Polignac number, because 32205532681 - 21 = 32205532679 is a prime.

It is a super-2 number, since 2×322055326812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32205532681.

It is not an unprimeable number, because it can be changed into a prime (32205532687) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38942190 + ... + 38943016.

Almost surely, 232205532681 is an apocalyptic number.

32205532681 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

32205532681 is the 179459-th square number.

32205532681 is the 89730-th centered octagonal number.

It is an amenable number.

32205532681 is a deficient number, since it is larger than the sum of its proper divisors (6552398276).

32205532681 is an frugal number, since it uses more digits than its factorization.

32205532681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 32205532681 in words is "thirty-two billion, two hundred five million, five hundred thirty-two thousand, six hundred eighty-one".

Divisors: 1 7 31 49 217 827 961 1519 5789 6727 25637 40523 47089 179459 683929 794747 1256213 4787503 5563229 21201799 33512521 38942603 148412593 657255769 1038888151 4600790383 32205532681