Search a number
-
+
2004272205260 = 2251310181179403
BaseRepresentation
bin11101001010100111111…
…011101100110111001100
321002121101011202100211112
4131022213323230313030
5230314222141032020
64132425553111152
7264542506436003
oct35124773546714
97077334670745
102004272205260
11703009454936
122845368584b8
131170046a1590
146d01601dc3a
15372080c12c5
hex1d2a7eecdcc

2004272205260 has 96 divisors (see below), whose sum is σ = 4578668119872. Its totient is φ = 732543667200.

The previous prime is 2004272205203. The next prime is 2004272205277. The reversal of 2004272205260 is 625022724002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213147719 + ... + 213157121.

It is an arithmetic number, because the mean of its divisors is an integer number (47694459582).

Almost surely, 22004272205260 is an apocalyptic number.

2004272205260 is a gapful number since it is divisible by the number (20) 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 2004272205260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289334059936).

2004272205260 is an abundant number, since it is smaller than the sum of its proper divisors (2574395914612).

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

2004272205260 is a wasteful number, since it uses less digits than its factorization.

2004272205260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17643 (or 17641 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

Adding to 2004272205260 its reverse (625022724002), we get a palindrome (2629294929262).

The spelling of 2004272205260 in words is "two trillion, four billion, two hundred seventy-two million, two hundred five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 8117 9403 13130 16234 18806 26260 32468 37612 40585 47015 81170 94030 105521 122239 162340 188060 211042 244478 422084 488956 527605 611195 819817 949703 1055210 1222390 1639634 1899406 2110420 2444780 3279268 3798812 4099085 4748515 8198170 9497030 10657621 12346139 16396340 18994060 21315242 24692278 42630484 49384556 53288105 61730695 76324151 106576210 123461390 152648302 213152420 246922780 305296604 381620755 763241510 992213963 1526483020 1984427926 3968855852 4961069815 7708739251 9922139630 15417478502 19844279260 30834957004 38543696255 77087392510 100213610263 154174785020 200427220526 400854441052 501068051315 1002136102630 2004272205260