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132164040581 = 79221176741
BaseRepresentation
bin111101100010110010…
…1110011011110000101
3110122010201221220012222
41323011211303132011
54131132443244311
6140414302022125
712356101544366
oct1730545633605
9418121856188
10132164040581
1151061178921
1221745577945
13c603325811
14657aa65b6d
153687d2aadb
hex1ec5973785

132164040581 has 6 divisors (see below), whose sum is σ = 133858186182. Its totient is φ = 130491071880.

The previous prime is 132164040571. The next prime is 132164040611. The reversal of 132164040581 is 185040461231.

It can be written as a sum of positive squares in only one way, i.e., 80434632100 + 51729408481 = 283610^2 + 227441^2 .

It is not a de Polignac number, because 132164040581 - 214 = 132164024197 is a prime.

It is a super-3 number, since 3×1321640405813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132164040511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10582130 + ... + 10594611.

It is an arithmetic number, because the mean of its divisors is an integer number (22309697697).

Almost surely, 2132164040581 is an apocalyptic number.

It is an amenable number.

132164040581 is a deficient number, since it is larger than the sum of its proper divisors (1694145601).

132164040581 is an frugal number, since it uses more digits than its factorization.

132164040581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21176899 (or 21176820 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 132164040581 in words is "one hundred thirty-two billion, one hundred sixty-four million, forty thousand, five hundred eighty-one".

Divisors: 1 79 6241 21176741 1672962539 132164040581