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33427136401 is a prime number
BaseRepresentation
bin11111001000011010…
…011001111110010001
310012021121001110200221
4133020122121332101
51021424321331101
623204535313041
72262232654111
oct371032317621
9105247043627
1033427136401
11131a382436a
12658a81b781
1331c93cc669
14189167b041
15d09941aa1
hex7c8699f91

33427136401 has 2 divisors, whose sum is σ = 33427136402. Its totient is φ = 33427136400.

The previous prime is 33427136399. The next prime is 33427136437. The reversal of 33427136401 is 10463172433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21892161600 + 11534974801 = 147960^2 + 107401^2 .

It is a cyclic number.

It is not a de Polignac number, because 33427136401 - 21 = 33427136399 is a prime.

It is a super-2 number, since 2×334271364012 (a number of 22 digits) contains 22 as substring.

Together with 33427136399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (33427136101) 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 as a sum of consecutive naturals, namely, 16713568200 + 16713568201.

It is an arithmetic number, because the mean of its divisors is an integer number (16713568201).

Almost surely, 233427136401 is an apocalyptic number.

It is an amenable number.

33427136401 is a deficient number, since it is larger than the sum of its proper divisors (1).

33427136401 is an equidigital number, since it uses as much as digits as its factorization.

33427136401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 34.

The spelling of 33427136401 in words is "thirty-three billion, four hundred twenty-seven million, one hundred thirty-six thousand, four hundred one".