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1068788442636 = 2232294167372677
BaseRepresentation
bin11111000110110001100…
…00010110011000001100
310210011201201000101002200
433203120300112120030
5120002334320131021
62134554501321500
7140134400603325
oct17433060263014
93704651011080
101068788442636
113822a8237a92
1215317b106290
1379a2b703335
1439a301a144c
151cc05807126
hexf8d8c1660c

1068788442636 has 144 divisors (see below), whose sum is σ = 2905725644640. Its totient is φ = 330578519040.

The previous prime is 1068788442503. The next prime is 1068788442653. The reversal of 1068788442636 is 6362448878601.

1068788442636 is a `hidden beast` number, since 1 + 0 + 6 + 87 + 88 + 442 + 6 + 36 = 666.

It is a super-2 number, since 2×10687884426362 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2681530 + ... + 3054206.

It is an arithmetic number, because the mean of its divisors is an integer number (20178650310).

Almost surely, 21068788442636 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 1068788442636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452862822320).

1068788442636 is an abundant number, since it is smaller than the sum of its proper divisors (1836937202004).

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

1068788442636 is a wasteful number, since it uses less digits than its factorization.

1068788442636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372824 (or 372819 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 1068788442636 in words is "one trillion, sixty-eight billion, seven hundred eighty-eight million, four hundred forty-two thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 41 58 67 82 87 116 123 134 164 174 201 246 261 268 348 369 402 492 522 603 738 804 1044 1189 1206 1476 1943 2378 2412 2747 3567 3886 4756 5494 5829 7134 7772 8241 10701 10988 11658 14268 16482 17487 21402 23316 24723 32964 34974 42804 49446 69948 79663 98892 159326 238989 318652 372677 477978 716967 745354 955956 1118031 1433934 1490708 2236062 2867868 3354093 4472124 6708186 10807633 13416372 15279757 21615266 24969359 30559514 32422899 43230532 45839271 49938718 61119028 64845798 74908077 91678542 97268697 99877436 129691596 137517813 149816154 183357084 194537394 224724231 275035626 299632308 389074788 443112953 449448462 550071252 724111411 886225906 898896924 1023743719 1329338859 1448222822 1772451812 2047487438 2172334233 2658677718 2896445644 3071231157 3988016577 4094974876 4344668466 5317355436 6142462314 6517002699 7976033154 8689336932 9213693471 12284924628 13034005398 15952066308 18427386942 26068010796 29688567851 36854773884 59377135702 89065703553 118754271404 178131407106 267197110659 356262814212 534394221318 1068788442636