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132329256516 = 223236711001311
BaseRepresentation
bin111101100111101110…
…0000011011001000100
3110122120020211201212200
41323033130003121010
54132002242202031
6140442523114500
712363146056452
oct1731734033104
9418506751780
10132329256516
1151136463016
1221790972a30
13c62b621422
1465949919d2
1536975b38e6
hex1ecf703644

132329256516 has 36 divisors (see below), whose sum is σ = 334590407424. Its totient is φ = 44097692400.

The previous prime is 132329256511. The next prime is 132329256569. The reversal of 132329256516 is 615652923231.

132329256516 is a `hidden beast` number, since 1 + 323 + 29 + 256 + 51 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1323292565162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132329256511) 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 11 ways as a sum of consecutive naturals, for example, 368500 + ... + 632811.

It is an arithmetic number, because the mean of its divisors is an integer number (9294177984).

Almost surely, 2132329256516 is an apocalyptic number.

It is an amenable number.

132329256516 is an abundant number, since it is smaller than the sum of its proper divisors (202261150908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132329256516 is a wasteful number, since it uses less digits than its factorization.

132329256516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004992 (or 1004987 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The spelling of 132329256516 in words is "one hundred thirty-two billion, three hundred twenty-nine million, two hundred fifty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 3671 7342 11013 14684 22026 33039 44052 66078 132156 1001311 2002622 3003933 4005244 6007866 9011799 12015732 18023598 36047196 3675812681 7351625362 11027438043 14703250724 22054876086 33082314129 44109752172 66164628258 132329256516