Search a number
-
+
132740827135061 = 2997809160136433
BaseRepresentation
bin11110001011101000100001…
…110110010011110001010101
3122101222220021110210212222012
4132023220201312103301111
5114344311203221310221
61150152143311314005
736650131304024405
oct3613504166236125
9571886243725865
10132740827135061
113932808340a542
1212a7a08a51b905
13590b5387cc872
1424ac994310805
151052d60a4c65b
hex78ba21d93c55

132740827135061 has 32 divisors (see below), whose sum is σ = 138995812015200. Its totient is φ = 126602890444800.

The previous prime is 132740827135039. The next prime is 132740827135069. The reversal of 132740827135061 is 160531728047231.

It can be written as a sum of positive squares in 16 ways, for example, as 19807039260100 + 112933787874961 = 4450510^2 + 10627031^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132740827135061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132740827135069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3643404701 + ... + 3643441133.

It is an arithmetic number, because the mean of its divisors is an integer number (4343619125475).

Almost surely, 2132740827135061 is an apocalyptic number.

It is an amenable number.

132740827135061 is a deficient number, since it is larger than the sum of its proper divisors (6254984880139).

132740827135061 is a wasteful number, since it uses less digits than its factorization.

132740827135061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38969.

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 132740827135061 in words is "one hundred thirty-two trillion, seven hundred forty billion, eight hundred twenty-seven million, one hundred thirty-five thousand, sixty-one".

Divisors: 1 29 97 809 1601 2813 23461 36433 46429 78473 155297 1056557 1295209 2275717 3534001 4503613 29474297 37561061 58329233 102486029 125635273 854754613 1691547757 2859006809 3643422917 5657935601 47188349497 82911197461 164080132429 1368462135413 4577269901209 132740827135061