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103809982640 = 24571315978929
BaseRepresentation
bin110000010101110001…
…1101010000010110000
3100220221200210111212212
41200223203222002300
53200100323421030
6115404544111252
710333336202420
oct1405343520260
9326850714785
10103809982640
1140031035491
1218151905528
139a34c60840
14504b070480
152a78978595
hex182b8ea0b0

103809982640 has 160 divisors (see below), whose sum is σ = 297275556480. Its totient is φ = 32829898752.

The previous prime is 103809982607. The next prime is 103809982651. The reversal of 103809982640 is 46289908301.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11621696 + ... + 11630624.

It is an arithmetic number, because the mean of its divisors is an integer number (1857972228).

Almost surely, 2103809982640 is an apocalyptic number.

103809982640 is a gapful number since it is divisible by the number (10) 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 103809982640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148637778240).

103809982640 is an abundant number, since it is smaller than the sum of its proper divisors (193465573840).

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

103809982640 is a wasteful number, since it uses less digits than its factorization.

103809982640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10559 (or 10553 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The spelling of 103809982640 in words is "one hundred three billion, eight hundred nine million, nine hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1597 1820 3194 3640 6388 7280 7985 8929 11179 12776 15970 17858 20761 22358 25552 31940 35716 41522 44645 44716 55895 62503 63880 71432 83044 89290 89432 103805 111790 116077 125006 127760 142864 145327 166088 178580 178864 207610 223580 232154 250012 290654 312515 332176 357160 415220 447160 464308 500024 580385 581308 625030 714320 726635 812539 830440 894320 928616 1000048 1160770 1162616 1250060 1453270 1625078 1660880 1857232 2321540 2325232 2500120 2906540 3250156 4062695 4643080 5000240 5813080 6500312 8125390 9286160 11626160 13000624 14259613 16250780 28519226 32501560 57038452 65003120 71298065 99817291 114076904 142596130 185374969 199634582 228153808 285192260 370749938 399269164 499086455 570384520 741499876 798538328 926874845 998172910 1140769040 1297624783 1482999752 1597076656 1853749690 1996345820 2595249566 2965999504 3707499380 3992691640 5190499132 6488123915 7414998760 7985383280 10380998264 12976247830 14829997520 20761996528 25952495660 51904991320 103809982640