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516023415433 = 232961118110739
BaseRepresentation
bin1111000001001010110…
…01000111001010001001
31211022221120002112222101
413200211121013022021
531423303443243213
61033020300353401
752165353442261
oct7404531071211
91738846075871
10516023415433
11189931846699
1284013245861
1339878a11b96
141ad9332c7a1
15d652701bdd
hex7825647289

516023415433 has 32 divisors (see below), whose sum is σ = 566690515200. Its totient is φ = 468314246400.

The previous prime is 516023415419. The next prime is 516023415443. The reversal of 516023415433 is 334514320615.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-516023415433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 516023415392 and 516023415401.

It is not an unprimeable number, because it can be changed into a prime (516023415403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48045978 + ... + 48056716.

It is an arithmetic number, because the mean of its divisors is an integer number (17709078600).

Almost surely, 2516023415433 is an apocalyptic number.

It is an amenable number.

516023415433 is a deficient number, since it is larger than the sum of its proper divisors (50667099767).

516023415433 is a wasteful number, since it uses less digits than its factorization.

516023415433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12033.

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 516023415433 in words is "five hundred sixteen billion, twenty-three million, four hundred fifteen thousand, four hundred thirty-three".

Divisors: 1 23 29 61 667 1181 1403 1769 10739 27163 34249 40687 72041 246997 311431 655079 787727 1656943 2089189 7162913 12682759 15066817 18997291 48051347 291703457 367800011 436937693 773648299 8459400253 17793910877 22435800671 516023415433