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450713771416337 = 111333114336644933
BaseRepresentation
bin110011001111010111111101…
…0001111011001101100010001
32012002211211000200021012202112
41212132233322033121230101
5433033443300440310322
64234331014222555105
7163635665264322032
oct14636577217315421
92162754020235675
10450713771416337
1112067a7009762a0
1242673422138a95
1316465184565110
147d4293d12aa89
153719175d755e2
hex199ebfa3d9b11

450713771416337 has 32 divisors (see below), whose sum is σ = 531480320816256. Its totient is φ = 376815487910400.

The previous prime is 450713771416309. The next prime is 450713771416369. The reversal of 450713771416337 is 733614177317054.

It is a happy number.

It is not a de Polignac number, because 450713771416337 - 28 = 450713771416081 is a prime.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (450713771016337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64505723 + ... + 71150655.

It is an arithmetic number, because the mean of its divisors is an integer number (16608760025508).

Almost surely, 2450713771416337 is an apocalyptic number.

It is an amenable number.

450713771416337 is a deficient number, since it is larger than the sum of its proper divisors (80766549399919).

450713771416337 is a wasteful number, since it uses less digits than its factorization.

450713771416337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646721.

The product of its (nonzero) digits is 31116960, while the sum is 59.

The spelling of 450713771416337 in words is "four hundred fifty trillion, seven hundred thirteen billion, seven hundred seventy-one million, four hundred sixteen thousand, three hundred thirty-seven".

Divisors: 1 11 13 143 331 1433 3641 4303 15763 18629 47333 204919 474323 5217553 6166199 6644933 67828189 73094263 86384129 950225419 2199472823 9522188989 24194201053 28593146699 104744078879 123788456857 314524613689 1361673025427 3151844555359 34670290108949 40973979219667 450713771416337