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1068316561512 = 233419166352177
BaseRepresentation
bin11111000101111001010…
…00010001000001101000
310210010111211002022220000
433202330220101001220
5120000403014432022
62134440003303000
7140116610641524
oct17427450210150
93703454068800
101068316561512
11382085936792
1215306907aa60
1379984a14c35
14399c7648d84
151cbc91956ac
hexf8bca11068

1068316561512 has 160 divisors (see below), whose sum is σ = 3151718169600. Its totient is φ = 337153798656.

The previous prime is 1068316561463. The next prime is 1068316561537. The reversal of 1068316561512 is 2151656138601.

It is a happy number.

1068316561512 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 3 + 16 + 5 + 615 + 12 = 666.

It is a super-2 number, since 2×10683165615122 (a number of 25 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 20448768 + ... + 20500944.

It is an arithmetic number, because the mean of its divisors is an integer number (19698238560).

Almost surely, 21068316561512 is an apocalyptic number.

1068316561512 is a gapful number since it is divisible by the number (12) 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 1068316561512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575859084800).

1068316561512 is an abundant number, since it is smaller than the sum of its proper divisors (2083401608088).

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

1068316561512 is a wasteful number, since it uses less digits than its factorization.

1068316561512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53877 (or 53864 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1068316561512 in words is "one trillion, sixty-eight billion, three hundred sixteen million, five hundred sixty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1368 1539 1663 2052 3078 3326 4104 4989 6156 6652 9978 12312 13304 14967 19956 29934 31597 39912 44901 52177 59868 63194 89802 94791 104354 119736 126388 134703 156531 179604 189582 208708 252776 269406 284373 313062 359208 379164 417416 469593 538812 568746 626124 758328 853119 939186 991363 1077624 1137492 1252248 1408779 1706238 1878372 1982726 2274984 2559357 2817558 2974089 3412476 3756744 3965452 4226337 5118714 5635116 5948178 6824952 7930904 8452674 8922267 10237428 11270232 11896356 16905348 17844534 20474856 23792712 26766801 33810696 35689068 53533602 71378136 80300403 86770351 107067204 160600806 173540702 214134408 260311053 321201612 347081404 520622106 642403224 694162808 780933159 1041244212 1561866318 1648636669 2082488424 2342799477 3123732636 3297273338 4685598954 4945910007 6247465272 6594546676 7028398431 9371197908 9891820014 13189093352 14056796862 14837730021 18742395816 19783640028 28113593724 29675460042 39567280056 44513190063 56227187448 59350920084 89026380126 118701840168 133539570189 178052760252 267079140378 356105520504 534158280756 1068316561512