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442220817819 = 311121311047511
BaseRepresentation
bin1100110111101100110…
…10100010110110011011
31120021110010111010211010
412123312122202312123
524221132012132234
6535053050505003
743643433634224
oct6336632426633
91507403433733
10442220817819
111605aa139770
1271856a35163
1332916830991
14175916aa24b
15b7833606e9
hex66f66a2d9b

442220817819 has 16 divisors (see below), whose sum is σ = 643760619264. Its totient is φ = 267791642400.

The previous prime is 442220817781. The next prime is 442220817869. The reversal of 442220817819 is 918718022244.

It is not a de Polignac number, because 442220817819 - 216 = 442220752283 is a prime.

It is a super-2 number, since 2×4422208178192 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442220817869) 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, 5483727 + ... + 5563784.

It is an arithmetic number, because the mean of its divisors is an integer number (40235038704).

Almost surely, 2442220817819 is an apocalyptic number.

442220817819 is a deficient number, since it is larger than the sum of its proper divisors (201539801445).

442220817819 is a wasteful number, since it uses less digits than its factorization.

442220817819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11048738.

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 442220817819 in words is "four hundred forty-two billion, two hundred twenty million, eight hundred seventeen thousand, eight hundred nineteen".

Divisors: 1 3 11 33 1213 3639 13343 40029 11047511 33142533 121522621 364567863 13400630843 40201892529 147406939273 442220817819