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132525344116627 = 72111911471875113
BaseRepresentation
bin11110001000011111110110…
…000011110100111110010011
3122101020022002002111101001121
4132020133312003310332103
5114332243401043213002
61145505145210343111
736625432366422100
oct3610376603647623
9571208062441047
10132525344116627
1139254756909440
1212a4437172aa97
1358c4117876b27
1424a2391bd3aa7
15104c44d1a2237
hex7887f60f4f93

132525344116627 has 48 divisors (see below), whose sum is σ = 169172501889024. Its totient is φ = 102655888272000.

The previous prime is 132525344116559. The next prime is 132525344116637. The reversal of 132525344116627 is 726611443525231.

It is a happy number.

It is not a de Polignac number, because 132525344116627 - 219 = 132525343592339 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132525344116637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151000423 + ... + 151875535.

It is an arithmetic number, because the mean of its divisors is an integer number (3524427122688).

Almost surely, 2132525344116627 is an apocalyptic number.

132525344116627 is a deficient number, since it is larger than the sum of its proper divisors (36647157772397).

132525344116627 is a wasteful number, since it uses less digits than its factorization.

132525344116627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876800 (or 876793 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 52.

The spelling of 132525344116627 in words is "one hundred thirty-two trillion, five hundred twenty-five billion, three hundred forty-four million, one hundred sixteen thousand, six hundred twenty-seven".

Divisors: 1 7 11 49 77 191 539 1337 1471 2101 9359 10297 14707 16181 72079 102949 113267 280961 792869 875113 1966727 3090571 6125791 9626243 13767089 21633997 42880537 67383701 151437979 167146583 471685907 1170026081 1287291223 1838612413 8190182567 9011038561 12870286891 14160203453 63077269927 90092008237 99121424171 245872623593 693849969197 1721108365151 2704598859523 12047758556057 18932192016661 132525344116627