Search a number
-
+
516107656685000 = 2354103221531337
BaseRepresentation
bin111010101011001011010110…
…1100010101110010111001000
32111200101102001222101200122202
41311112112231202232113020
51020121401440102410000
65025400330114135332
7213465355600626602
oct16526265542562710
92450342058350582
10516107656685000
1113a4a2034333086
1249a75155b81548
13191c9987a49373
149163a5b256172
153ea0227ce5dd5
hex1d565ad8ae5c8

516107656685000 has 40 divisors (see below), whose sum is σ = 1209240239624670. Its totient is φ = 206443062672000.

The previous prime is 516107656684993. The next prime is 516107656685053. The reversal of 516107656685000 is 586656701615.

It can be written as a sum of positive squares in 5 ways, for example, as 70847606078404 + 445260050606596 = 8417102^2 + 21101186^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×5161076566850002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 51610760669 + ... + 51610770668.

Almost surely, 2516107656685000 is an apocalyptic number.

516107656685000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

516107656685000 is an abundant number, since it is smaller than the sum of its proper divisors (693132582939670).

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

516107656685000 is a wasteful number, since it uses less digits than its factorization.

516107656685000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103221531363 (or 103221531344 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 56.

The spelling of 516107656685000 in words is "five hundred sixteen trillion, one hundred seven billion, six hundred fifty-six million, six hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 103221531337 206443062674 412886125348 516107656685 825772250696 1032215313370 2064430626740 2580538283425 4128861253480 5161076566850 10322153133700 12902691417125 20644306267400 25805382834250 51610765668500 64513457085625 103221531337000 129026914171250 258053828342500 516107656685000