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442428907517 = 37471731470611
BaseRepresentation
bin1100111000000101101…
…00010101111111111101
31120021222122001012012222
412130002310111333331
524222043300020032
6535125442535125
743651541443562
oct6340264257775
91507878035188
10442428907517
111606a6647623
12718b46674a5
133294a98b18c
14175b1196869
15b796766a12
hex6702d15ffd

442428907517 has 16 divisors (see below), whose sum is σ = 466736954112. Its totient is φ = 418876787520.

The previous prime is 442428907513. The next prime is 442428907589. The reversal of 442428907517 is 715709824244.

It is a cyclic number.

It is not a de Polignac number, because 442428907517 - 22 = 442428907513 is a prime.

It is a super-2 number, since 2×4424289075172 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442428907513) 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, 434459 + ... + 1036152.

It is an arithmetic number, because the mean of its divisors is an integer number (29171059632).

Almost surely, 2442428907517 is an apocalyptic number.

442428907517 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

442428907517 is a deficient number, since it is larger than the sum of its proper divisors (24308046595).

442428907517 is a wasteful number, since it uses less digits than its factorization.

442428907517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470868.

The product of its (nonzero) digits is 4515840, while the sum is 53.

The spelling of 442428907517 in words is "four hundred forty-two billion, four hundred twenty-eight million, nine hundred seven thousand, five hundred seventeen".

Divisors: 1 37 47 173 1739 6401 8131 300847 1470611 54412607 69118717 254415703 2557392529 9413381011 11957538041 442428907517