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132268233969 = 321212292
BaseRepresentation
bin111101100101111001…
…1010001010011110001
3110122102000000110200100
41323023303101103301
54131341131441334
6140432503143013
712361505303244
oct1731363212361
9418360013610
10132268233969
1151104a73963
1221774444a69
13c61baa6c01
14658a82925b
15369205cc99
hex1ecbcd14f1

132268233969 has 9 divisors (see below), whose sum is σ = 191055691723. Its totient is φ = 88178095272.

The previous prime is 132268233949. The next prime is 132268233989. The reversal of 132268233969 is 969332862231.

It is a happy number.

The square root of 132268233969 is 363687.

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

132268233969 is a `hidden beast` number, since 1 + 3 + 226 + 8 + 23 + 396 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (132268233949) and next prime (132268233989).

It can be written as a sum of positive squares in only one way, i.e., 68794470369 + 63473763600 = 262287^2 + 251940^2 .

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

It is not a de Polignac number, because 132268233969 - 213 = 132268225777 is a prime.

It is a super-2 number, since 2×1322682339692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132268233949) 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, 1030447 + ... + 1151675.

Almost surely, 2132268233969 is an apocalyptic number.

132268233969 is the 363687-th square number.

132268233969 is the 181844-th centered octagonal number.

It is an amenable number.

132268233969 is a deficient number, since it is larger than the sum of its proper divisors (58787457754).

132268233969 is an frugal number, since it uses more digits than its factorization.

132268233969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242464 (or 121232 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 132268233969 in words is "one hundred thirty-two billion, two hundred sixty-eight million, two hundred thirty-three thousand, nine hundred sixty-nine".

Divisors: 1 3 9 121229 363687 1091061 14696470441 44089411323 132268233969