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212543615336 = 2313172931133723
BaseRepresentation
bin1100010111110010010…
…1100011000101101000
3202022121112022100220012
43011330211203011220
511440242131142321
6241350255151052
721233012631053
oct3057445430550
9668545270805
10212543615336
118215936a048
1235238515488
1317072c9a080
14a403da9a9a
1557de7c605b
hex317c963168

212543615336 has 128 divisors (see below), whose sum is σ = 485257651200. Its totient is φ = 86266736640.

The previous prime is 212543615299. The next prime is 212543615363. The reversal of 212543615336 is 633516345212.

It is a junction number, because it is equal to n+sod(n) for n = 212543615293 and 212543615302.

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, 1522571 + ... + 1656293.

It is an arithmetic number, because the mean of its divisors is an integer number (3791075400).

Almost surely, 2212543615336 is an apocalyptic number.

212543615336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212543615336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242628825600).

212543615336 is an abundant number, since it is smaller than the sum of its proper divisors (272714035864).

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

212543615336 is a wasteful number, since it uses less digits than its factorization.

212543615336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133819 (or 133815 counting only the distinct ones).

The product of its digits is 388800, while the sum is 41.

The spelling of 212543615336 in words is "two hundred twelve billion, five hundred forty-three million, six hundred fifteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 17 26 29 31 34 52 58 62 68 104 116 124 136 221 232 248 377 403 442 493 527 754 806 884 899 986 1054 1508 1612 1768 1798 1972 2108 3016 3224 3596 3944 4216 6409 6851 7192 11687 12818 13702 15283 23374 25636 27404 30566 46748 51272 54808 61132 93496 122264 133723 198679 267446 397358 534892 794716 1069784 1589432 1738399 2273291 3476798 3877967 4145413 4546582 6953596 7755934 8290826 9093164 13907192 15511868 16581652 18186328 29552783 31023736 33163304 50413571 53890369 59105566 65925439 70472021 100827142 107780738 118211132 120216977 131850878 140944042 201654284 215561476 236422264 240433954 263701756 281888084 403308568 431122952 480867908 527403512 563776168 857030707 916136273 961735816 1562820701 1714061414 1832272546 2043688609 3125641402 3428122828 3664545092 4087377218 6251282804 6856245656 7329090184 8174754436 12502565608 16349508872 26567951917 53135903834 106271807668 212543615336