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335052011189476 = 2272251252092
BaseRepresentation
bin100110000101110100110000…
…0000110111011010011100100
31121221022122210201222122200101
41030023221200012323103210
5322403443004331030401
63144332434040153444
7130400465115561400
oct11413514006732344
91557278721878611
10335052011189476
119783783a58a549
12316b33a8768884
13114c536623c489
145ca4865028100
1528b0712072101
hex130ba601bb4e4

335052011189476 has 81 divisors (see below), whose sum is σ = 684929892696777. Its totient is φ = 142994175912000.

The previous prime is 335052011189447. The next prime is 335052011189521. The reversal of 335052011189476 is 674981110250533.

The square root of 335052011189476 is 18304426.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 328650706383076 + 6401304806400 = 18128726^2 + 2530080^2 .

It is a super-2 number, since 2×3350520111894762 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64321750360 + ... + 64321755568.

It is a 2-persistent number, because it is pandigital, and so is 2⋅335052011189476 = 670104022378952, but 3⋅335052011189476 = 1005156033568428 is not.

Almost surely, 2335052011189476 is an apocalyptic number.

335052011189476 is the 18304426-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335052011189476

335052011189476 is an abundant number, since it is smaller than the sum of its proper divisors (349877881507301).

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

335052011189476 is an frugal number, since it uses more digits than its factorization.

335052011189476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10938 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 335052011189476 in words is "three hundred thirty-five trillion, fifty-two billion, eleven million, one hundred eighty-nine thousand, four hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 98 196 251 502 1004 1757 3514 5209 7028 10418 12299 20836 24598 36463 49196 63001 72926 126002 145852 252004 255241 441007 510482 882014 1020964 1307459 1764028 2614918 3087049 5229836 6174098 9152213 12348196 18304426 27133681 36608852 54267362 64065491 108534724 128130982 189935767 256261964 328172209 379871534 656344418 759743068 1312688836 1329550369 2297205463 2659100738 4594410926 5318201476 6810553931 9188821852 13621107862 16080438241 27242215724 32160876482 47673877517 64321752964 95347755034 190695510068 333717142619 667434285238 1334868570476 1709449036681 3418898073362 6837796146724 11966143256767 23932286513534 47864573027068 83763002797369 167526005594738 335052011189476