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64442600600219 = 3113729351787289
BaseRepresentation
bin11101010011100001101100…
…10100010011001010011011
322110011122121122012022020022
432221300312110103022123
531421311421223201334
6345020304431221055
716400552501114312
oct1651606624231233
9273148548168208
1064442600600219
1119595a54029596
1272894a867778b
1329c5baca8a9ba
1411cb077963279
1576b4773db82e
hex3a9c3651329b

64442600600219 has 16 divisors (see below), whose sum is σ = 67235645756160. Its totient is φ = 61697303431680.

The previous prime is 64442600600179. The next prime is 64442600600263. The reversal of 64442600600219 is 91200600624446.

64442600600219 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 a de Polignac number, because none of the positive numbers 2k-64442600600219 is a prime.

It is a super-2 number, since 2×644426006002192 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 64442600600219.

It is not an unprimeable number, because it can be changed into a prime (64442600600419) 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, 24649274 + ... + 27138015.

It is an arithmetic number, because the mean of its divisors is an integer number (4202227859760).

Almost surely, 264442600600219 is an apocalyptic number.

64442600600219 is a deficient number, since it is larger than the sum of its proper divisors (2793045155941).

64442600600219 is a wasteful number, since it uses less digits than its factorization.

64442600600219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51787750.

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 64442600600219 in words is "sixty-four trillion, four hundred forty-two billion, six hundred million, six hundred thousand, two hundred nineteen".

Divisors: 1 31 137 293 4247 9083 40141 1244371 51787289 1605405959 7094858593 15173675677 219940616383 470383945987 2078793567749 64442600600219