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133488660321 = 321217872
BaseRepresentation
bin111110001010010001…
…0110100111101100001
3110202120001110112220100
41330110202310331201
54141341044112241
6141153541133013
712433654614462
oct1742442647541
9422501415810
10133488660321
1151680961285
1221a550ba169
13c7848a0893
146664954d69
1537142809b6
hex1f148b4f61

133488660321 has 9 divisors (see below), whose sum is σ = 192818537041. Its totient is φ = 88991709492.

The previous prime is 133488660289. The next prime is 133488660323. The reversal of 133488660321 is 123066884331.

The square root of 133488660321 is 365361.

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

133488660321 is a `hidden beast` number, since 1 + 3 + 34 + 8 + 8 + 6 + 603 + 2 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 133488660321 - 25 = 133488660289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133488660323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1035190 + ... + 1156976.

Almost surely, 2133488660321 is an apocalyptic number.

133488660321 is the 365361-st square number.

133488660321 is the 182681-st centered octagonal number.

It is an amenable number.

133488660321 is a deficient number, since it is larger than the sum of its proper divisors (59329876720).

133488660321 is an frugal number, since it uses more digits than its factorization.

133488660321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243580 (or 121790 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 133488660321 in words is "one hundred thirty-three billion, four hundred eighty-eight million, six hundred sixty thousand, three hundred twenty-one".

Divisors: 1 3 9 121787 365361 1096083 14832073369 44496220107 133488660321