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108007660040 = 23572471172467
BaseRepresentation
bin110010010010111000…
…0100001101000001000
3101022210020110121202012
41210211300201220020
53232144430110130
6121341254555052
710542346651100
oct1444560415010
9338706417665
10108007660040
1141895565665
1218b23668a88
13a253805317
145328760200
152c22249995
hex1925c21a08

108007660040 has 96 divisors (see below), whose sum is σ = 288708520320. Its totient is φ = 36243268992.

The previous prime is 108007660031. The next prime is 108007660121. The reversal of 108007660040 is 40066700801.

108007660040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 108007659979 and 108007660006.

It is an unprimeable number.

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, 494114 + ... + 678353.

It is an arithmetic number, because the mean of its divisors is an integer number (3007380420).

Almost surely, 2108007660040 is an apocalyptic number.

108007660040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108007660040 is an abundant number, since it is smaller than the sum of its proper divisors (180700860280).

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

108007660040 is a wasteful number, since it uses less digits than its factorization.

108007660040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172539 (or 1172528 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 108007660040 in words is "one hundred eight billion, seven million, six hundred sixty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 49 56 70 94 98 140 188 196 235 245 280 329 376 392 470 490 658 940 980 1316 1645 1880 1960 2303 2632 3290 4606 6580 9212 11515 13160 18424 23030 46060 92120 1172467 2344934 4689868 5862335 8207269 9379736 11724670 16414538 23449340 32829076 41036345 46898680 55105949 57450883 65658152 82072690 110211898 114901766 164145380 220423796 229803532 275529745 287254415 328290760 385741643 440847592 459607064 551059490 574508830 771483286 1102118980 1149017660 1542966572 1928708215 2204237960 2298035320 2700191501 3085933144 3857416430 5400383002 7714832860 10800766004 13500957505 15429665720 21601532008 27001915010 54003830020 108007660040