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5116535424576 = 26323074
BaseRepresentation
bin100101001110100100101…
…0001101100011001000000
3200010010200011002001220100
41022131021101230121000
51132312131032041301
614514300503042400
71035441342345432
oct112351121543100
920103604061810
105116535424576
1116a2a0194a904
126a7751440400
132b16445660b4
141398da912652
158d15d466286
hex4a74946c640

5116535424576 has 105 divisors (see below), whose sum is σ = 14713551854651. Its totient is φ = 1699956395136.

The previous prime is 5116535424521. The next prime is 5116535424593. The reversal of 5116535424576 is 6754245356115.

The square root of 5116535424576 is 2261976.

It is a perfect power (a square), and thus also a powerful number.

5116535424576 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 53 + 542 + 45 + 7 + 6 = 666.

It is a super-2 number, since 2×51165354245762 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 16666239015 + ... + 16666239321.

Almost surely, 25116535424576 is an apocalyptic number.

5116535424576 is the 2261976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5116535424576

5116535424576 is an abundant number, since it is smaller than the sum of its proper divisors (9597016430075).

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

5116535424576 is an frugal number, since it uses more digits than its factorization.

5116535424576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 312 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 54.

The spelling of 5116535424576 in words is "five trillion, one hundred sixteen billion, five hundred thirty-five million, four hundred twenty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 307 576 614 921 1228 1842 2456 2763 3684 4912 5526 7368 9824 11052 14736 19648 22104 29472 44208 58944 88416 94249 176832 188498 282747 376996 565494 753992 848241 1130988 1507984 1696482 2261976 3015968 3392964 4523952 6031936 6785928 9047904 13571856 18095808 27143712 28934443 54287424 57868886 86803329 115737772 173606658 231475544 260409987 347213316 462951088 520819974 694426632 925902176 1041639948 1388853264 1851804352 2083279896 2777706528 4166559792 5555413056 8333119584 8882874001 16666239168 17765748002 26648622003 35531496004 53297244006 71062992008 79945866009 106594488012 142125984016 159891732018 213188976024 284251968032 319783464036 426377952048 568503936064 639566928072 852755904096 1279133856144 1705511808192 2558267712288 5116535424576