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276410771340 = 223511246781527
BaseRepresentation
bin1000000010110110101…
…11011010011110001100
3222102110112122001101120
410001123113122132030
514012042124140330
6330551550040540
725653500535054
oct4013327323614
9872415561346
10276410771340
11a7252746700
12456a14a9150
13200b0975842
14d5422b2564
1572cb7acc10
hex405b5da78c

276410771340 has 144 divisors (see below), whose sum is σ = 852537643776. Its totient is φ = 66864364160.

The previous prime is 276410771323. The next prime is 276410771341. The reversal of 276410771340 is 43177014672.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 276410771292 and 276410771301.

It is not an unprimeable number, because it can be changed into a prime (276410771341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3349657 + ... + 3431183.

It is an arithmetic number, because the mean of its divisors is an integer number (5920400304).

Almost surely, 2276410771340 is an apocalyptic number.

276410771340 is a gapful number since it is divisible by the number (20) 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 276410771340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426268821888).

276410771340 is an abundant number, since it is smaller than the sum of its proper divisors (576126872436).

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

276410771340 is a wasteful number, since it uses less digits than its factorization.

276410771340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82028 (or 82015 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 276410771340 in words is "two hundred seventy-six billion, four hundred ten million, seven hundred seventy-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 467 484 605 660 726 934 1210 1401 1452 1815 1868 2335 2420 2802 3630 4670 5137 5604 7005 7260 9340 10274 14010 15411 20548 25685 28020 30822 51370 56507 61644 77055 81527 102740 113014 154110 163054 169521 226028 244581 282535 308220 326108 339042 407635 489162 565070 678084 815270 847605 896797 978324 1130140 1222905 1630540 1695210 1793594 2445810 2690391 3390420 3587188 4483985 4891620 5380782 8967970 9864767 10761564 13451955 17935940 19729534 26903910 29594301 38073109 39459068 49323835 53807820 59188602 76146218 98647670 114219327 118377204 147971505 152292436 190365545 197295340 228438654 295943010 380731090 418804199 456877308 571096635 591886020 761462180 837608398 1142193270 1256412597 1675216796 2094020995 2284386540 2512825194 4188041990 4606846189 5025650388 6282062985 8376083980 9213692378 12564125970 13820538567 18427384756 23034230945 25128251940 27641077134 46068461890 55282154268 69102692835 92136923780 138205385670 276410771340