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516891763585064 = 237212891022964653
BaseRepresentation
bin111010110000111000011110…
…1111101001011000000101000
32111210011100222201212022011102
41311201300331331023000220
51020222223312434210224
65031200444214220532
7213606124521412400
oct16541607575130050
92453140881768142
10516891763585064
1113a77462522663a
1249b81105954748
13192558b812ab9a
14918d9a2915800
153eb581abab4ae
hex1d61c3df4b028

516891763585064 has 48 divisors (see below), whose sum is σ = 1128278865129300. Its totient is φ = 221353183258368.

The previous prime is 516891763585033. The next prime is 516891763585079. The reversal of 516891763585064 is 460585367198615.

It can be written as a sum of positive squares in 2 ways, for example, as 412200845452900 + 104690918132164 = 20302730^2 + 10231858^2 .

It is a junction number, because it is equal to n+sod(n) for n = 516891763584982 and 516891763585000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510977039 + ... + 511987614.

Almost surely, 2516891763585064 is an apocalyptic number.

It is an amenable number.

516891763585064 is an abundant number, since it is smaller than the sum of its proper divisors (611387101544236).

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

516891763585064 is a wasteful number, since it uses less digits than its factorization.

516891763585064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022965962 (or 1022965951 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 74.

The spelling of 516891763585064 in words is "five hundred sixteen trillion, eight hundred ninety-one billion, seven hundred sixty-three million, five hundred eighty-five thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 1289 2578 5156 9023 10312 18046 36092 63161 72184 126322 252644 505288 1022964653 2045929306 4091858612 7160752571 8183717224 14321505142 28643010284 50125267997 57286020568 100250535994 200501071988 401002143976 1318601437717 2637202875434 5274405750868 9230210064019 10548811501736 18460420128038 36920840256076 64611470448133 73841680512152 129222940896266 258445881792532 516891763585064