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132766146001 = 311487876593
BaseRepresentation
bin111101110100101111…
…0101001110111010001
3110200200200221000120201
41323221132221313101
54133401113133001
6140554131135201
712410032422646
oct1735136516721
9420620830521
10132766146001
1151340034605
1221893144501
13c69acaa808
1465d69d9dcd
1536c0b12501
hex1ee97a9dd1

132766146001 has 8 divisors (see below), whose sum is σ = 133466696064. Its totient is φ = 132067350720.

The previous prime is 132766145983. The next prime is 132766146053. The reversal of 132766146001 is 100641667231.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132766146001 - 217 = 132766014929 is a prime.

It is a super-3 number, since 3×1327661460013 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132766146091) 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 7 ways as a sum of consecutive naturals, for example, 286840 + ... + 589753.

It is an arithmetic number, because the mean of its divisors is an integer number (16683337008).

Almost surely, 2132766146001 is an apocalyptic number.

It is an amenable number.

132766146001 is a deficient number, since it is larger than the sum of its proper divisors (700550063).

132766146001 is an equidigital number, since it uses as much as digits as its factorization.

132766146001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877391.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 132766146001 in words is "one hundred thirty-two billion, seven hundred sixty-six million, one hundred forty-six thousand, one".

Divisors: 1 311 487 151457 876593 272620423 426900791 132766146001