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450840381719 = 713109337134873
BaseRepresentation
bin1101000111110000010…
…11100100100100010111
31121002200211201100121112
412203320023210210113
524341310114203334
6543040242005235
744400150005150
oct6437013444427
91532624640545
10450840381719
111642227076a2
127346164681b
133368b52c450
1417b6c370927
15bad9e404ce
hex68f82e4917

450840381719 has 32 divisors (see below), whose sum is σ = 561636915840. Its totient is φ = 352384929792.

The previous prime is 450840381643. The next prime is 450840381727. The reversal of 450840381719 is 917183048054.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-450840381719 is a prime.

It is a super-2 number, since 2×4508403817192 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450840381749) 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 in 31 ways as a sum of consecutive naturals, for example, 3275267 + ... + 3410139.

It is an arithmetic number, because the mean of its divisors is an integer number (17551153620).

Almost surely, 2450840381719 is an apocalyptic number.

450840381719 is a deficient number, since it is larger than the sum of its proper divisors (110796534121).

450840381719 is a wasteful number, since it uses less digits than its factorization.

450840381719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135339.

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 450840381719 in words is "four hundred fifty billion, eight hundred forty million, three hundred eighty-one thousand, seven hundred nineteen".

Divisors: 1 7 13 91 109 337 763 1417 2359 4381 9919 30667 36733 134873 257131 477529 944111 1753349 3342703 12273443 14701157 45452201 102908099 191115041 318165407 590878613 1337805287 4136150291 4954289909 34680029363 64405768817 450840381719