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11364160001 = 13795387041
BaseRepresentation
bin10101001010101101…
…10101001000000001
31002022222200010211212
422211112311020001
5141233211110001
65115353215505
7551420523545
oct124526651001
932288603755
1011364160001
114901854677
122251a01595
1310c14caa3c
1479b3c5a25
15467a237bb
hex2a55b5201

11364160001 has 8 divisors (see below), whose sum is σ = 11459253384. Its totient is φ = 11269242880.

The previous prime is 11364159973. The next prime is 11364160009. The reversal of 11364160001 is 10006146311.

It can be written as a sum of positive squares in 4 ways, for example, as 5550250000 + 5813910001 = 74500^2 + 76249^2 .

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 11364160001 - 210 = 11364158977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11364160009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87041 + ... + 174081.

It is an arithmetic number, because the mean of its divisors is an integer number (1432406673).

It is a Poulet number, since it divides 211364160000-1.

Almost surely, 211364160001 is an apocalyptic number.

11364160001 is the 87041-st pentagonal number.

It is an amenable number.

11364160001 is a deficient number, since it is larger than the sum of its proper divisors (95093383).

11364160001 is an equidigital number, since it uses as much as digits as its factorization.

11364160001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88131.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 11364160001 in words is "eleven billion, three hundred sixty-four million, one hundred sixty thousand, one".

Divisors: 1 137 953 87041 130561 11924617 82950073 11364160001