Search a number
-
+
132531726561305 = 51091731405650173
BaseRepresentation
bin11110001000100101110010…
…011110111011000000011001
3122101020220112220012011012112
4132020211302132323000121
5114332344433444430210
61145512122404322105
736626046506334401
oct3610456236730031
9571226486164175
10132531726561305
1139257431604605
1212a456530a3335
1358c48c3c48706
1424a27d9717801
15104c6c3681d05
hex7889727bb019

132531726561305 has 16 divisors (see below), whose sum is σ = 161424865982160. Its totient is φ = 104445430380288.

The previous prime is 132531726561287. The next prime is 132531726561361. The reversal of 132531726561305 is 503165627135231.

It can be written as a sum of positive squares in 8 ways, for example, as 1381292480656 + 131150434080649 = 1175284^2 + 11452093^2 .

It is a cyclic number.

It is not a de Polignac number, because 132531726561305 - 222 = 132531722367001 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702730802 + ... + 702919371.

It is an arithmetic number, because the mean of its divisors is an integer number (10089054123885).

Almost surely, 2132531726561305 is an apocalyptic number.

It is an amenable number.

132531726561305 is a deficient number, since it is larger than the sum of its proper divisors (28893139420855).

132531726561305 is a wasteful number, since it uses less digits than its factorization.

132531726561305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405650460.

The product of its (nonzero) digits is 3402000, while the sum is 50.

The spelling of 132531726561305 in words is "one hundred thirty-two trillion, five hundred thirty-one billion, seven hundred twenty-six million, five hundred sixty-one thousand, three hundred five".

Divisors: 1 5 109 173 545 865 18857 94285 1405650173 7028250865 153215868857 243177479929 766079344285 1215887399645 26506345312261 132531726561305