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168313771836 = 223271742719199
BaseRepresentation
bin1001110011000001001…
…0000101011100111100
3121002110002001111221100
42130300102011130330
510224201311144321
6205153340133100
715105654312030
oct2346022053474
9532402044840
10168313771836
1165421810a81
1228753b37190
1312b447c0142
148209b381c0
1545a17b7326
hex273048573c

168313771836 has 144 divisors (see below), whose sum is σ = 515018649600. Its totient is φ = 45245329920.

The previous prime is 168313771781. The next prime is 168313771867. The reversal of 168313771836 is 638177313861.

168313771836 is a `hidden beast` number, since 1 + 68 + 31 + 377 + 183 + 6 = 666.

It is a super-2 number, since 2×1683137718362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18292365 + ... + 18301563.

It is an arithmetic number, because the mean of its divisors is an integer number (3576518400).

Almost surely, 2168313771836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168313771836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257509324800).

168313771836 is an abundant number, since it is smaller than the sum of its proper divisors (346704877764).

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

168313771836 is a wasteful number, since it uses less digits than its factorization.

168313771836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13504 (or 13499 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 168313771836 in words is "one hundred sixty-eight billion, three hundred thirteen million, seven hundred seventy-one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4271 4284 8542 9199 12813 17084 18398 25626 27597 29897 36796 38439 51252 55194 59794 64393 72607 76878 82791 89691 110388 119588 128786 145214 153756 156383 165582 179382 193179 217821 257572 269073 290428 312766 331164 358764 386358 435642 469149 508249 538146 579537 625532 653463 772716 871284 938298 1016498 1076292 1094681 1159074 1306926 1407447 1524747 1876596 2032996 2189362 2318148 2613852 2814894 3049494 3284043 4378724 4574241 5629788 6098988 6568086 9148482 9852129 13136172 18296964 19704258 39288929 39408516 78577858 117866787 157155716 235733574 275022503 353600361 471467148 550045006 667911793 707200722 825067509 1100090012 1335823586 1414401444 1650135018 2003735379 2475202527 2671647172 3300270036 4007470758 4675382551 4950405054 6011206137 8014941516 9350765102 9900810108 12022412274 14026147653 18701530204 24044824548 28052295306 42078442959 56104590612 84156885918 168313771836