Search a number
-
+
39009892096 = 287313718979
BaseRepresentation
bin100100010101001010…
…111011011100000000
310201200122222211210101
4210111022323130000
51114343013021341
625530525212144
72550462416560
oct442512733400
9121618884711
1039009892096
11155a908134a
127688401054
1338a8bc9ab6
141c60cb6da0
151034b0b831
hex9152bb700

39009892096 has 144 divisors (see below), whose sum is σ = 94349731840. Its totient is φ = 15741112320.

The previous prime is 39009892073. The next prime is 39009892109. The reversal of 39009892096 is 69029890093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2045935 + ... + 2064913.

Almost surely, 239009892096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39009892096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174865920).

39009892096 is an abundant number, since it is smaller than the sum of its proper divisors (55339839744).

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

39009892096 is a wasteful number, since it uses less digits than its factorization.

39009892096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19070 (or 19056 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 55.

The spelling of 39009892096 in words is "thirty-nine billion, nine million, eight hundred ninety-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 56 62 64 74 112 124 128 148 217 224 248 256 259 296 434 448 496 518 592 868 896 992 1036 1147 1184 1736 1792 1984 2072 2294 2368 3472 3968 4144 4588 4736 6944 7936 8029 8288 9176 9472 13888 16058 16576 18352 18979 27776 32116 33152 36704 37958 55552 64232 66304 73408 75916 128464 132853 146816 151832 256928 265706 293632 303664 513856 531412 588349 607328 702223 1027712 1062824 1176698 1214656 1404446 2055424 2125648 2353396 2429312 2808892 4118443 4251296 4706792 4858624 4915561 5617784 8236886 8502592 9413584 9831122 11235568 16473772 17005184 18827168 19662244 21768913 22471136 32947544 34010368 37654336 39324488 43537826 44942272 65895088 75308672 78648976 87075652 89884544 131790176 150617344 152382391 157297952 174151304 179769088 263580352 304764782 314595904 348302608 527160704 609529564 629191808 696605216 1054321408 1219059128 1258383616 1393210432 2438118256 2786420864 4876236512 5572841728 9752473024 19504946048 39009892096