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132106536867 = 32913773315121
BaseRepresentation
bin111101100001000101…
…0011100011110100011
3110121222201202101221210
41323002022130132203
54131023233134432
6140404445321203
712354503015154
oct1730212343643
9417881671853
10132106536867
1151031772498
122172a266203
13c5c4440b56
14657317792b
153682c6c8cc
hex1ec229c7a3

132106536867 has 32 divisors (see below), whose sum is σ = 183808514880. Its totient is φ = 84292669440.

The previous prime is 132106536847. The next prime is 132106536889. The reversal of 132106536867 is 768635601231.

It is not a de Polignac number, because 132106536867 - 26 = 132106536803 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (132106536847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8729067 + ... + 8744187.

It is an arithmetic number, because the mean of its divisors is an integer number (5744016090).

Almost surely, 2132106536867 is an apocalyptic number.

132106536867 is a deficient number, since it is larger than the sum of its proper divisors (51701978013).

132106536867 is a wasteful number, since it uses less digits than its factorization.

132106536867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16023.

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 132106536867 in words is "one hundred thirty-two billion, one hundred six million, five hundred thirty-six thousand, eight hundred sixty-seven".

Divisors: 1 3 29 87 137 411 733 2199 3973 11919 15121 21257 45363 63771 100421 301263 438509 1315527 2071577 2912209 6214731 8736627 11083693 33251079 60075733 180227199 321427097 964281291 1518465941 4555397823 44035512289 132106536867