Search a number
-
+
2260010553339 = 371129695948479
BaseRepresentation
bin100000111000110011001…
…000000100111111111011
322000001111000120111200010
4200320303020010333323
5244012000200201324
64450122353313003
7322165111512360
oct40706310047773
98001430514603
102260010553339
117a1513047a10
12306008b65763
1313516c5670b6
147b5569b0467
153dbc4a8b829
hex20e33204ffb

2260010553339 has 64 divisors (see below), whose sum is σ = 3887087616000. Its totient is φ = 1133361344640.

The previous prime is 2260010553271. The next prime is 2260010553343. The reversal of 2260010553339 is 9333550100622.

It is a happy number.

2260010553339 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2260010553339 - 28 = 2260010553083 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2260010553297 and 2260010553306.

It is not an unprimeable number, because it can be changed into a prime (2260010553349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46594102 + ... + 46642580.

It is an arithmetic number, because the mean of its divisors is an integer number (60735744000).

Almost surely, 22260010553339 is an apocalyptic number.

2260010553339 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2260010553339 is a deficient number, since it is larger than the sum of its proper divisors (1627077062661).

2260010553339 is a wasteful number, since it uses less digits than its factorization.

2260010553339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55488.

The product of its (nonzero) digits is 145800, while the sum is 39.

The spelling of 2260010553339 in words is "two trillion, two hundred sixty billion, ten million, five hundred fifty-three thousand, three hundred thirty-nine".

Divisors: 1 3 7 11 21 29 33 77 87 203 231 319 609 957 2233 6699 6959 20877 48479 48713 76549 145437 146139 201811 229647 339353 533269 535843 605433 1018059 1405891 1412677 1599807 1607529 2219921 3732883 4217673 4238031 6659763 9841237 11198649 15464801 15539447 29523711 46394403 46618341 108253607 324760821 337365361 1012096083 2361557527 3711018971 7084672581 9783595469 11133056913 25977132797 29350786407 68485168283 77931398391 107619550159 205455504849 322858650477 753336851113 2260010553339