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276030105800 = 235212719156897
BaseRepresentation
bin1000000010001001010…
…11010010100011001000
3222101111000100020102212
410001010223102203020
514010302201341200
6330450111044252
725641166121021
oct4010453224310
9871430306385
10276030105800
11a7077886a89
12455b5b10688
132004cb43767
14d507901c48
1572a8168035
hex4044ad28c8

276030105800 has 96 divisors (see below), whose sum is σ = 650221240320. Its totient is φ = 108967219200.

The previous prime is 276030105797. The next prime is 276030105809. The reversal of 276030105800 is 8501030672.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (276030105809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4822952 + ... + 4879848.

It is an arithmetic number, because the mean of its divisors is an integer number (6773137920).

Almost surely, 2276030105800 is an apocalyptic number.

276030105800 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 276030105800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325110620160).

276030105800 is an abundant number, since it is smaller than the sum of its proper divisors (374191134520).

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

276030105800 is a wasteful number, since it uses less digits than its factorization.

276030105800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57231 (or 57222 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 276030105800 in words is "two hundred seventy-six billion, thirty million, one hundred five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 191 200 254 382 508 635 764 955 1016 1270 1528 1910 2540 3175 3820 4775 5080 6350 7640 9550 12700 19100 24257 25400 38200 48514 56897 97028 113794 121285 194056 227588 242570 284485 455176 485140 568970 606425 970280 1137940 1212850 1422425 2275880 2425700 2844850 4851400 5689700 7225919 10867327 11379400 14451838 21734654 28903676 36129595 43469308 54336635 57807352 72259190 86938616 108673270 144518380 180647975 217346540 271683175 289036760 361295950 434693080 543366350 722591900 1086732700 1380150529 1445183800 2173465400 2760301058 5520602116 6900752645 11041204232 13801505290 27603010580 34503763225 55206021160 69007526450 138015052900 276030105800