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32173955641 = 18129912
BaseRepresentation
bin11101111101101101…
…111001101000111001
310002001020222021212201
4131331231321220321
51011343013040031
622440331310201
72216205052642
oct357555715071
9102036867781
1032173955641
11127103a5093
12629abab361
1330598a8099
1417b30666c9
15c848edd61
hex77db79a39

32173955641 has 9 divisors (see below), whose sum is σ = 32385373839. Its totient is φ = 31963912200.

The previous prime is 32173955629. The next prime is 32173955701. The reversal of 32173955641 is 14655937123.

The square root of 32173955641 is 179371.

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., 354531241 + 31819424400 = 18829^2 + 178380^2 .

It is not a de Polignac number, because 32173955641 - 29 = 32173955129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32173955591 and 32173955600.

It is not an unprimeable number, because it can be changed into a prime (32173955621) 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 8 ways as a sum of consecutive naturals, for example, 32465656 + ... + 32466646.

It is an arithmetic number, because the mean of its divisors is an integer number (3598374871).

Almost surely, 232173955641 is an apocalyptic number.

32173955641 is the 179371-st square number.

32173955641 is the 89686-th centered octagonal number.

It is an amenable number.

32173955641 is a deficient number, since it is larger than the sum of its proper divisors (211418198).

32173955641 is an frugal number, since it uses more digits than its factorization.

32173955641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 1172 counting only the distinct ones).

The product of its digits is 680400, while the sum is 46.

The spelling of 32173955641 in words is "thirty-two billion, one hundred seventy-three million, nine hundred fifty-five thousand, six hundred forty-one".

Divisors: 1 181 991 32761 179371 982081 32466151 177756661 32173955641