Search a number
-
+
2009986479384 = 23313113127448907
BaseRepresentation
bin11101001111111100100…
…001111011010100011000
321010011010102011120021220
4131033330201323110120
5230412423014320014
64135213001532040
7265134224115222
oct35177441732430
97104112146256
102009986479384
11705480a70634
122856704a4020
131177054c9680
146d3d8cd3412
153743eab96a9
hex1d3fc87b518

2009986479384 has 128 divisors (see below), whose sum is σ = 5502391050240. Its totient is φ = 608156301312.

The previous prime is 2009986479377. The next prime is 2009986479401. The reversal of 2009986479384 is 4839746899002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4253059 + ... + 4701965.

It is an arithmetic number, because the mean of its divisors is an integer number (42987430080).

Almost surely, 22009986479384 is an apocalyptic number.

2009986479384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009986479384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751195525120).

2009986479384 is an abundant number, since it is smaller than the sum of its proper divisors (3492404570856).

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

2009986479384 is a wasteful number, since it uses less digits than its factorization.

2009986479384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449169 (or 449165 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 69.

The spelling of 2009986479384 in words is "two trillion, nine billion, nine hundred eighty-six million, four hundred seventy-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 113 127 156 226 254 312 339 381 452 508 678 762 904 1016 1356 1469 1524 1651 2712 2938 3048 3302 4407 4953 5876 6604 8814 9906 11752 13208 14351 17628 19812 28702 35256 39624 43053 57404 86106 114808 172212 186563 344424 373126 448907 559689 746252 897814 1119378 1346721 1492504 1795628 2238756 2693442 3591256 4477512 5386884 5835791 10773768 11671582 17507373 23343164 35014746 46686328 50726491 57011189 70029492 101452982 114022378 140058984 152179473 171033567 202905964 228044756 304358946 342067134 405811928 456089512 608717892 659444383 684134268 741145457 1217435784 1318888766 1368268536 1482290914 1978333149 2223436371 2637777532 2964581828 3956666298 4446872742 5275555064 5929163656 6442264357 7913332596 8893745484 12884528714 15826665192 17787490968 19326793071 25769057428 38653586142 51538114856 77307172284 83749436641 154614344568 167498873282 251248309923 334997746564 502496619846 669995493128 1004993239692 2009986479384