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26921664001 is a prime number
BaseRepresentation
bin11001000100101001…
…111111111000000001
32120111012212020020201
4121010221333320001
5420113421222001
620211224405201
71642100240221
oct310451777001
976435766221
1026921664001
11104656396a1
125274016801
1327006b39cb
141435690081
15a7875e501
hex644a7fe01

26921664001 has 2 divisors, whose sum is σ = 26921664002. Its totient is φ = 26921664000.

The previous prime is 26921663999. The next prime is 26921664031. The reversal of 26921664001 is 10046612962.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18785443600 + 8136220401 = 137060^2 + 90201^2 .

It is a cyclic number.

It is not a de Polignac number, because 26921664001 - 21 = 26921663999 is a prime.

Together with 26921663999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (26921664031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13460832000 + 13460832001.

It is an arithmetic number, because the mean of its divisors is an integer number (13460832001).

Almost surely, 226921664001 is an apocalyptic number.

It is an amenable number.

26921664001 is a deficient number, since it is larger than the sum of its proper divisors (1).

26921664001 is an equidigital number, since it uses as much as digits as its factorization.

26921664001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 26921664001 in words is "twenty-six billion, nine hundred twenty-one million, six hundred sixty-four thousand, one".