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109348393392 = 2433764755889
BaseRepresentation
bin110010111010110101…
…1000001000110110000
3101110020200021221011000
41211311223001012300
53242421142042032
6122122311322000
710620520002510
oct1456553010660
9343220257130
10109348393392
1142413354457
1219238680300
13a408502874
145414845840
152c9ecd3e7c
hex1975ac11b0

109348393392 has 160 divisors (see below), whose sum is σ = 359269862400. Its totient is φ = 31193551872.

The previous prime is 109348393373. The next prime is 109348393421. The reversal of 109348393392 is 293393843901.

109348393392 is a `hidden beast` number, since 1 + 0 + 93 + 4 + 83 + 93 + 392 = 666.

It is a super-2 number, since 2×1093483933922 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1928584 + ... + 1984472.

It is an arithmetic number, because the mean of its divisors is an integer number (2245436640).

Almost surely, 2109348393392 is an apocalyptic number.

109348393392 is a gapful number since it is divisible by the number (12) 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 109348393392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179634931200).

109348393392 is an abundant number, since it is smaller than the sum of its proper divisors (249921469008).

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

109348393392 is a wasteful number, since it uses less digits than its factorization.

109348393392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56560 (or 56548 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 109348393392 in words is "one hundred nine billion, three hundred forty-eight million, three hundred ninety-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 647 756 1008 1294 1512 1941 2588 3024 3882 4529 5176 5823 7764 9058 10352 11646 13587 15528 17469 18116 23292 27174 31056 34938 36232 40761 46584 54348 55889 69876 72464 81522 93168 108696 111778 122283 139752 163044 167667 217392 223556 244566 279504 326088 335334 391223 447112 489132 503001 652176 670668 782446 894224 978264 1006002 1173669 1341336 1509003 1564892 1956528 2012004 2347338 2682672 3018006 3129784 3521007 4024008 4694676 6036012 6259568 7042014 8048016 9389352 10563021 12072024 14084028 18778704 21126042 24144048 28168056 36160183 42252084 56336112 72320366 84504168 108480549 144640732 169008336 216961098 253121281 289281464 325441647 433922196 506242562 578562928 650883294 759363843 867844392 976324941 1012485124 1301766588 1518727686 1735688784 1952649882 2024970248 2278091529 2603533176 3037455372 3905299764 4049940496 4556183058 5207066352 6074910744 6834274587 7810599528 9112366116 12149821488 13668549174 15621199056 18224732232 27337098348 36449464464 54674196696 109348393392