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480935605914 = 23226999325817
BaseRepresentation
bin1101111111110011111…
…11101111011010011010
31200222101020012011000200
412333321333233122122
530334424003342124
61004534435043030
746514014125441
oct6777177573232
91628336164020
10480935605914
11175a66680005
1279260440476
133647655530a
14193c52c5d58
15c79c0c8bc9
hex6ff9fef69a

480935605914 has 24 divisors (see below), whose sum is σ = 1045900863540. Its totient is φ = 159715912128.

The previous prime is 480935605867. The next prime is 480935605967. The reversal of 480935605914 is 419506539084.

480935605914 is a `hidden beast` number, since 48 + 0 + 9 + 3 + 5 + 6 + 0 + 591 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 475293042225 + 5642563689 = 689415^2 + 75117^2 .

It is a super-3 number, since 3×4809356059143 (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 49658067 + ... + 49667750.

Almost surely, 2480935605914 is an apocalyptic number.

480935605914 is an abundant number, since it is smaller than the sum of its proper divisors (564965257626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480935605914 is a wasteful number, since it uses less digits than its factorization.

480935605914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99326094 (or 99326091 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 480935605914 in words is "four hundred eighty billion, nine hundred thirty-five million, six hundred five thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 269 538 807 1614 2421 4842 99325817 198651634 297977451 595954902 893932353 1787864706 26718644773 53437289546 80155934319 160311868638 240467802957 480935605914