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132765520767 = 31161449146891
BaseRepresentation
bin111101110100101110…
…0010001001101111111
3110200200122202020220220
41323221130101031333
54133400433131032
6140554105512423
712410024210055
oct1735134211577
9420618666826
10132765520767
115133a747890
1221892aa2713
13c69ab1c059
1465d68b61d5
1536c0a3c12c
hex1ee971137f

132765520767 has 32 divisors (see below), whose sum is σ = 196717766400. Its totient is φ = 78968064000.

The previous prime is 132765520747. The next prime is 132765520777. The reversal of 132765520767 is 767025567231.

It is not a de Polignac number, because 132765520767 - 211 = 132765518719 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132765520747) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 830392 + ... + 977282.

It is an arithmetic number, because the mean of its divisors is an integer number (6147430200).

Almost surely, 2132765520767 is an apocalyptic number.

132765520767 is a deficient number, since it is larger than the sum of its proper divisors (63952245633).

132765520767 is a wasteful number, since it uses less digits than its factorization.

132765520767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147415.

The product of its (nonzero) digits is 3704400, while the sum is 51.

The spelling of 132765520767 in words is "one hundred thirty-two billion, seven hundred sixty-five million, five hundred twenty thousand, seven hundred sixty-seven".

Divisors: 1 3 11 33 61 183 449 671 1347 2013 4939 14817 27389 82167 146891 301279 440673 903837 1615801 4847403 8960351 26881053 65954059 98563861 197862177 295691583 725494649 2176483947 4023197599 12069592797 44255173589 132765520767