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132906180969 = 34405072
BaseRepresentation
bin111101111000111010…
…0110110000101101001
3110201001110102112110000
41323301310312011221
54134142440242334
6141020052413213
712413352620112
oct1736164660551
9421043375400
10132906180969
115140208a991
1221912017209
13c6c0ccaa43
14660b44d209
1536cd074299
hex1ef1d36169

132906180969 has 15 divisors (see below), whose sum is σ = 198543764397. Its totient is φ = 88601933268.

The previous prime is 132906180937. The next prime is 132906181003. The reversal of 132906180969 is 969081609231.

The square root of 132906180969 is 364563.

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

132906180969 is a `hidden beast` number, since 13 + 2 + 9 + 0 + 618 + 0 + 9 + 6 + 9 = 666.

It is not a de Polignac number, because 132906180969 - 25 = 132906180937 is a prime.

It is a super-2 number, since 2×1329061809692 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132906180469) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3260814 + ... + 3301320.

Almost surely, 2132906180969 is an apocalyptic number.

132906180969 is the 364563-rd square number.

132906180969 is the 182282-nd centered octagonal number.

It is an amenable number.

132906180969 is a deficient number, since it is larger than the sum of its proper divisors (65637583428).

132906180969 is an frugal number, since it uses more digits than its factorization.

132906180969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81026 (or 40510 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 132906180969 in words is "one hundred thirty-two billion, nine hundred six million, one hundred eighty thousand, nine hundred sixty-nine".

Divisors: 1 3 9 27 81 40507 121521 364563 1093689 3281067 1640817049 4922451147 14767353441 44302060323 132906180969