Search a number
-
+
132791042132 = 2272677505317
BaseRepresentation
bin111101110101011110…
…1101000000001010100
3110200202102202212122122
41323222331220001110
54133424001322012
6141000420515112
712410454143300
oct1735275500124
9420672685578
10132791042132
1151353099421
122189b54ba98
13c6a31b6658
1465da03ad00
1536c2dcde72
hex1eeaf68054

132791042132 has 18 divisors (see below), whose sum is σ = 270324621882. Its totient is φ = 56910446544.

The previous prime is 132791042119. The next prime is 132791042149. The reversal of 132791042132 is 231240197231.

It can be written as a sum of positive squares in only one way, i.e., 128761839556 + 4029202576 = 358834^2 + 63476^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132791042092 and 132791042101.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 338752463 + ... + 338752854.

It is an arithmetic number, because the mean of its divisors is an integer number (15018034549).

Almost surely, 2132791042132 is an apocalyptic number.

It is an amenable number.

132791042132 is an abundant number, since it is smaller than the sum of its proper divisors (137533579750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132791042132 is a wasteful number, since it uses less digits than its factorization.

132791042132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677505335 (or 677505326 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 132791042132 in words is "one hundred thirty-two billion, seven hundred ninety-one million, forty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 677505317 1355010634 2710021268 4742537219 9485074438 18970148876 33197760533 66395521066 132791042132