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450424033413345 = 32537270524944993
BaseRepresentation
bin110011001101010001000010…
…0100000101000100011100001
32012001211010011100002122110200
41212122202010200220203201
5433014221410023211340
64233545535552015413
7163606030305041115
oct14632420440504341
92161733140078420
10450424033413345
1112057883a371262
1242627241531569
1316443a5b7a6bb4
147d328d4c6b745
153711869578330
hex199a8848288e1

450424033413345 has 24 divisors (see below), whose sum is σ = 801835936962216. Its totient is φ = 233733552473088.

The previous prime is 450424033413337. The next prime is 450424033413359. The reversal of 450424033413345 is 543314330424054.

450424033413345 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 240 + 33 + 41 + 334 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 223011722014929 + 227412311398416 = 14933577^2 + 15080196^2 .

It is not a de Polignac number, because 450424033413345 - 23 = 450424033413337 is a prime.

It is a super-2 number, since 2×4504240334133452 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 450424033413345.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135262470832 + ... + 135262474161.

It is an arithmetic number, because the mean of its divisors is an integer number (33409830706759).

Almost surely, 2450424033413345 is an apocalyptic number.

450424033413345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

450424033413345 is a deficient number, since it is larger than the sum of its proper divisors (351411903548871).

450424033413345 is a wasteful number, since it uses less digits than its factorization.

450424033413345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270524945041 (or 270524945038 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

Adding to 450424033413345 its reverse (543314330424054), we get a palindrome (993738363837399).

The spelling of 450424033413345 in words is "four hundred fifty trillion, four hundred twenty-four billion, thirty-three million, four hundred thirteen thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 270524944993 811574834979 1352624724965 2434724504937 4057874174895 10009422964741 12173622524685 30028268894223 50047114823705 90084806682669 150141344471115 450424033413345