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2842270813382 = 271113101112312517
BaseRepresentation
bin101001010111000100100…
…010101100110011000110
3101001201101201222101210112
4221113010202230303012
5333031432312012012
610013415435353022
7412230056202050
oct51270442546306
911051351871715
102842270813382
119a644485a2a0
1239aa268b2772
13178042b89750
149b7d0c148d0
154de02310122
hex295c48accc6

2842270813382 has 128 divisors (see below), whose sum is σ = 5786579893248. Its totient is φ = 1011092544000.

The previous prime is 2842270813381. The next prime is 2842270813387. The reversal of 2842270813382 is 2833180722482.

It is a self number, because there is not a number n which added to its sum of digits gives 2842270813382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842270813381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227066588 + ... + 227079104.

It is an arithmetic number, because the mean of its divisors is an integer number (45207655416).

Almost surely, 22842270813382 is an apocalyptic number.

2842270813382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2842270813382 is an abundant number, since it is smaller than the sum of its proper divisors (2944309079866).

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

2842270813382 is a wasteful number, since it uses less digits than its factorization.

2842270813382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13774.

The product of its (nonzero) digits is 2064384, while the sum is 50.

The spelling of 2842270813382 in words is "two trillion, eight hundred forty-two billion, two hundred seventy million, eight hundred thirteen thousand, three hundred eighty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 101 143 154 182 202 286 707 1001 1111 1123 1313 1414 2002 2222 2246 2626 7777 7861 9191 12353 12517 14443 14599 15554 15722 18382 24706 25034 28886 29198 86471 87619 101101 102193 113423 137687 160589 162721 172942 175238 202202 204386 226846 275374 321178 325442 793961 963809 1124123 1139047 1247653 1264217 1474499 1587922 1789931 1927618 2248246 2278094 2495306 2528434 2948998 3579862 8733571 8849519 10321493 12529517 13906387 14056591 16219489 16434821 17467142 17699038 20642986 25059034 27812774 28113182 32438978 32869642 97344709 98396137 113536423 115043747 154622501 180783031 182735683 194689418 196792274 227072846 230087494 309245002 361566062 365471366 1082357507 1265481217 1279149781 1419715691 2010092513 2164715014 2530962434 2558299562 2839431382 4020185026 9938009837 14070647591 15616872601 18456303983 19876019674 28141295182 31233745202 36912607966 109318108207 129194127881 203019343813 218636216414 258388255762 406038687626 1421135406691 2842270813382