Search a number
-
+
191427668782688 = 25131727797719827
BaseRepresentation
bin101011100001101000111010…
…001100101010111001100000
3221002210022021101002101122002
4223201220322030222321200
5200042322331202021223
61515044353525103132
755215123041236202
oct5341507214527140
9832708241071562
10191427668782688
1155aa4022578578
1219577b6ab57aa8
1382a772314a3b0
14353b211ab2772
15171e7163e8e28
hexae1a3a32ae60

191427668782688 has 96 divisors (see below), whose sum is σ = 431289197033184. Its totient is φ = 82853904310272.

The previous prime is 191427668782643. The next prime is 191427668782771. The reversal of 191427668782688 is 886287866724191.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46900970 + ... + 50818857.

It is an arithmetic number, because the mean of its divisors is an integer number (4492595802429).

Almost surely, 2191427668782688 is an apocalyptic number.

It is an amenable number.

191427668782688 is an abundant number, since it is smaller than the sum of its proper divisors (239861528250496).

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

191427668782688 is a wasteful number, since it uses less digits than its factorization.

191427668782688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97720144 (or 97720136 counting only the distinct ones).

The product of its digits is 6242697216, while the sum is 83.

The spelling of 191427668782688 in words is "one hundred ninety-one trillion, four hundred twenty-seven billion, six hundred sixty-eight million, seven hundred eighty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 277 416 442 544 554 884 1108 1768 2216 3536 3601 4432 4709 7072 7202 8864 9418 14404 18836 28808 37672 57616 61217 75344 115232 122434 150688 244868 489736 979472 1958944 97719827 195439654 390879308 781758616 1270357751 1563517232 1661237059 2540715502 3127034464 3322474118 5081431004 6644948236 10162862008 13289896472 20325724016 21596081767 26579792944 27068392079 40651448032 43192163534 53159585888 54136784158 86384327068 108273568316 172768654136 216547136632 345537308272 351889097027 433094273264 460162665343 691074616544 703778194054 866188546528 920325330686 1407556388108 1840650661372 2815112776216 3681301322744 5630225552432 5982114649459 7362602645488 11260451104864 11964229298918 14725205290976 23928458597836 47856917195672 95713834391344 191427668782688