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509290613316 = 22344129672
BaseRepresentation
bin1110110100101000001…
…01100000101001000100
31210200120100010202210000
413122110011200221010
531321011344111231
61025544225201300
751536460533502
oct7322405405104
91720510122700
10509290613316
11186a97301821
1282854490230
1339044b904c4
141a915087672
15d3ab5b76e6
hex7694160a44

509290613316 has 135 divisors (see below), whose sum is σ = 1366063800717. Its totient is φ = 165451688640.

The previous prime is 509290613311. The next prime is 509290613339. The reversal of 509290613316 is 613316092905.

The square root of 509290613316 is 713646.

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

509290613316 is a `hidden beast` number, since 5 + 0 + 9 + 29 + 0 + 613 + 3 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24540475716 + 484750137600 = 156654^2 + 696240^2 .

It is not an unprimeable number, because it can be changed into a prime (509290613311) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 526670265 + ... + 526671231.

Almost surely, 2509290613316 is an apocalyptic number.

509290613316 is the 713646-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509290613316

509290613316 is an abundant number, since it is smaller than the sum of its proper divisors (856773187401).

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

509290613316 is an frugal number, since it uses more digits than its factorization.

509290613316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 509290613316 in words is "five hundred nine billion, two hundred ninety million, six hundred thirteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 967 1107 1476 1681 1934 2214 2901 3321 3362 3868 4428 5043 5802 6642 6724 8703 10086 11604 13284 15129 17406 20172 26109 30258 34812 39647 45387 52218 60516 78327 79294 90774 104436 118941 136161 156654 158588 181548 237882 272322 313308 356823 475764 544644 713646 935089 1070469 1427292 1625527 1870178 2140938 2805267 3211407 3251054 3740356 4281876 4876581 5610534 6422814 6502108 8415801 9753162 11221068 12845628 14629743 16831602 19506324 25247403 29259486 33663204 38338649 43889229 50494806 58518972 75742209 76677298 87778458 100989612 115015947 131667687 151484418 153354596 175556916 230031894 263335374 302968836 345047841 460063788 526670748 690095682 1035143523 1380191364 1571884609 2070287046 3105430569 3143769218 4140574092 4715653827 6210861138 6287538436 9431307654 12421722276 14146961481 18862615308 28293922962 42440884443 56587845924 84881768886 127322653329 169763537772 254645306658 509290613316