Search a number
-
+
2439050568516 = 2232232113172
BaseRepresentation
bin100011011111100010101…
…111100010001101000100
322122011121121221122022100
4203133202233202031010
5304430133421143031
65104252342232100
7341133642522042
oct43374257421504
98564547848270
102439050568516
11860439507301
12334855125630
13149003341b93
148609d0b7392
15436a2d69de6
hex237e2be2344

2439050568516 has 81 divisors (see below), whose sum is σ = 6445662065661. Its totient is φ = 777599580384.

The previous prime is 2439050568481. The next prime is 2439050568529. The reversal of 2439050568516 is 6158650509342.

The square root of 2439050568516 is 1561746.

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

2439050568516 is a `hidden beast` number, since 2 + 43 + 9 + 0 + 505 + 6 + 85 + 16 = 666.

2439050568516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2369721572100 + 69328996416 = 1539390^2 + 263304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 215515290 + ... + 215526606.

Almost surely, 22439050568516 is an apocalyptic number.

2439050568516 is the 1561746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2439050568516

2439050568516 is an abundant number, since it is smaller than the sum of its proper divisors (4006611497145).

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

2439050568516 is an equidigital number, since it uses as much as digits as its factorization.

2439050568516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22690 (or 11345 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 2439050568516 in words is "two trillion, four hundred thirty-nine billion, fifty million, five hundred sixty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 11317 19044 22634 33951 45268 67902 101853 135804 203706 260291 407412 520582 780873 1041164 1561746 2342619 3123492 4685238 5986693 9370476 11973386 17960079 23946772 35920158 53880237 71840316 107760474 128074489 215520948 256148978 384223467 512297956 768446934 1152670401 1536893868 2305340802 2945713247 4610681604 5891426494 8837139741 11782852988 17674279482 26511419223 35348558964 53022838446 67751404681 106045676892 135502809362 203254214043 271005618724 406508428086 609762642129 813016856172 1219525284258 2439050568516