Search a number
-
+
515060520133146 = 231331474532148251
BaseRepresentation
bin111010100011100011101111…
…1010101110010001000011010
32111112200022020020020022221220
41311013013133111302020122
51020002222421123230041
65023235311511512510
7213326615561041251
oct16507073725621032
92445608206208856
10515060520133146
1113a128a38019109
124992621a088736
1319151cca024630
1491290c28db798
153e82d8d2a8d66
hex1d471df57221a

515060520133146 has 64 divisors (see below), whose sum is σ = 1169511792132096. Its totient is φ = 150104750040000.

The previous prime is 515060520133111. The next prime is 515060520133151. The reversal of 515060520133146 is 641331025060515.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 515060520133098 and 515060520133107.

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, 2265960480 + ... + 2266187771.

It is an arithmetic number, because the mean of its divisors is an integer number (18273621752064).

Almost surely, 2515060520133146 is an apocalyptic number.

515060520133146 is an abundant number, since it is smaller than the sum of its proper divisors (654451271998950).

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

515060520133146 is a wasteful number, since it uses less digits than its factorization.

515060520133146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532148347.

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 515060520133146 in words is "five hundred fifteen trillion, sixty billion, five hundred twenty million, one hundred thirty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 31 39 47 62 78 93 94 141 186 282 403 611 806 1209 1222 1457 1833 2418 2914 3666 4371 8742 18941 37882 56823 113646 4532148251 9064296502 13596444753 27192889506 58917927263 117835854526 140496595781 176753781789 213010967797 280993191562 353507563578 421489787343 426021935594 639032903391 842979574686 1278065806782 1826455745153 2769142581361 3652911490306 5479367235459 5538285162722 6603340001707 8307427744083 10958734470918 13206680003414 16614855488166 19810020005121 39620040010242 85843420022191 171686840044382 257530260066573 515060520133146