Search a number
-
+
2653333130406 = 2379717917092129
BaseRepresentation
bin100110100111000110111…
…110101000110010100110
3100101122201100101122102110
4212213012332220302212
5321433011240133111
65350531401221450
7362461032325140
oct46470676506246
910348640348373
102653333130406
119332aa41a662
1236a297a91886
131632926736ba
14925c9dc5c90
15490451395a6
hex269c6fa8ca6

2653333130406 has 128 divisors (see below), whose sum is σ = 6168016512000. Its totient is φ = 745301458944.

The previous prime is 2653333130341. The next prime is 2653333130443. The reversal of 2653333130406 is 6040313333562.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1246280350 + ... + 1246282478.

It is an arithmetic number, because the mean of its divisors is an integer number (48187629000).

Almost surely, 22653333130406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2653333130406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084008256000).

2653333130406 is an abundant number, since it is smaller than the sum of its proper divisors (3514683381594).

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

2653333130406 is a wasteful number, since it uses less digits than its factorization.

2653333130406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126.

The product of its (nonzero) digits is 349920, while the sum is 39.

Adding to 2653333130406 its reverse (6040313333562), we get a palindrome (8693646463968).

The spelling of 2653333130406 in words is "two trillion, six hundred fifty-three billion, three hundred thirty-three million, one hundred thirty thousand, four hundred six".

Divisors: 1 2 3 6 7 14 21 42 97 179 194 291 358 537 582 679 1074 1253 1358 1709 2037 2129 2506 3418 3759 4074 4258 5127 6387 7518 10254 11963 12774 14903 17363 23926 29806 34726 35889 44709 52089 71778 89418 104178 121541 165773 206513 243082 305911 331546 364623 381091 413026 497319 611822 619539 729246 762182 917733 994638 1143273 1160411 1239078 1445591 1835466 2141377 2286546 2320822 2667637 2891182 3481233 3638461 4282754 4336773 5335274 6424131 6962466 7276922 8002911 8673546 10915383 12848262 16005822 21830766 25469227 29673367 36965827 50938454 59346734 73931654 76407681 89020101 110897481 152815362 178040202 207713569 221794962 258760789 352930717 415427138 517521578 623140707 651284519 705861434 776282367 1058792151 1246281414 1302569038 1552564734 1953853557 2117584302 2470515019 3907707114 4558991633 4941030038 7411545057 9117983266 13676974899 14823090114 27353949798 63174598343 126349196686 189523795029 379047590058 442222188401 884444376802 1326666565203 2653333130406