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65374891322401 = 5367128314349397
BaseRepresentation
bin11101101110101010001110…
…01011001010110000100001
322120110210000120200000221001
432313111013023022300201
532032100234134304101
6351012451021032001
716525115515364113
oct1667250713126041
9276423016600831
1065374891322401
1119915376916941
1273ba1129b5601
132a62a973860bb
1412202396c93b3
1578583e6ce901
hex3b75472cac21

65374891322401 has 16 divisors (see below), whose sum is σ = 67655230461504. Its totient is φ = 63134816906304.

The previous prime is 65374891322387. The next prime is 65374891322423. The reversal of 65374891322401 is 10422319847356.

65374891322401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 65374891322401 - 221 = 65374889225249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65374891322471) 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 15 ways as a sum of consecutive naturals, for example, 2618766 + ... + 11730631.

It is an arithmetic number, because the mean of its divisors is an integer number (4228451903844).

It is a 1-persistent number, because it is pandigital, but 2⋅65374891322401 = 130749782644802 is not.

Almost surely, 265374891322401 is an apocalyptic number.

It is an amenable number.

65374891322401 is a deficient number, since it is larger than the sum of its proper divisors (2280339139103).

65374891322401 is a wasteful number, since it uses less digits than its factorization.

65374891322401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14350800.

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 65374891322401 in words is "sixty-five trillion, three hundred seventy-four billion, eight hundred ninety-one million, three hundred twenty-two thousand, four hundred one".

Divisors: 1 53 67 1283 3551 67999 85961 4555933 14349397 760518041 961409599 18410276351 50954708747 975744646603 1233488515517 65374891322401