Search a number
-
+
107726399088 = 24371149735861
BaseRepresentation
bin110010001010011111…
…1100110011001110000
3101022001122020002020220
41210110333212121300
53231110424232323
6121253330333040
710532363166240
oct1442477463160
9338048202226
10107726399088
11417608200a0
1218a6542a180
13a20a468a19
1452dd267b20
152c076dd0e3
hex1914fe6670

107726399088 has 160 divisors (see below), whose sum is σ = 347091927552. Its totient is φ = 27970483200.

The previous prime is 107726399071. The next prime is 107726399113. The reversal of 107726399088 is 880993627701.

It is a Cunningham number, because it is equal to 3282172-1.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18377278 + ... + 18383138.

Almost surely, 2107726399088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107726399088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173545963776).

107726399088 is an abundant number, since it is smaller than the sum of its proper divisors (239365528464).

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

107726399088 is a wasteful number, since it uses less digits than its factorization.

107726399088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10863 (or 10857 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 107726399088 in words is "one hundred seven billion, seven hundred twenty-six million, three hundred ninety-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 4973 5861 9946 11722 14919 17583 19892 23444 29838 34811 35166 39784 41027 46888 54703 59676 64471 69622 70332 79568 82054 93776 104433 109406 119352 123081 128942 139244 140664 164108 164109 193413 208866 218812 238704 246162 257884 278488 281328 328216 328218 382921 386826 417732 437624 451297 492324 515768 556976 656432 656436 765842 773652 835464 875248 902594 984648 1031536 1148763 1312872 1353891 1531684 1547304 1670928 1805188 1969296 2297526 2625744 2707782 3063368 3094608 3610376 4595052 5415564 6126736 7220752 9190104 10831128 18380208 21662256 29146753 58293506 87440259 116587012 174880518 204027271 233174024 320614283 349761036 408054542 466348048 612081813 641228566 699522072 816109084 961842849 1224163626 1282457132 1399044144 1632218168 1923685698 2244299981 2448327252 2564914264 3264436336 3847371396 4488599962 4896654504 5129828528 6732899943 7694742792 8977199924 9793309008 13465799886 15389485584 17954399848 26931599772 35908799696 53863199544 107726399088