Search a number
-
+
17268809927808 = 273312663354469
BaseRepresentation
bin1111101101001011010101…
…0010000000110010000000
32021010212211001111102102210
43323102311102000302000
54230413010320142213
6100421103132142120
73431426131322115
oct373226522006200
967125731442383
1017268809927808
11555873000979a
121b2a989607940
139835987c0c1a
14439b59d9490c
151ee30499d0c3
hexfb4b5480c80

17268809927808 has 128 divisors (see below), whose sum is σ = 47352609907200. Its totient is φ = 5570272419840.

The previous prime is 17268809927753. The next prime is 17268809927867. The reversal of 17268809927808 is 80872990886271.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 17268809927808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317011998 + ... + 317066466.

It is an arithmetic number, because the mean of its divisors is an integer number (369942264900).

Almost surely, 217268809927808 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 17268809927808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23676304953600).

17268809927808 is an abundant number, since it is smaller than the sum of its proper divisors (30083799979392).

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

17268809927808 is a wasteful number, since it uses less digits than its factorization.

17268809927808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81150 (or 81138 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 75.

The spelling of 17268809927808 in words is "seventeen trillion, two hundred sixty-eight billion, eight hundred nine million, nine hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 26633 53266 54469 79899 106532 108938 159798 163407 213064 217876 319596 326814 426128 435752 639192 653628 825623 852256 871504 1278384 1307256 1651246 1688539 1704512 1743008 2476869 2556768 2614512 3302492 3377078 3409024 3486016 4953738 5065617 5113536 5229024 6604984 6754156 6972032 9907476 10131234 10227072 10458048 13209968 13508312 19814952 20262468 20916096 26419936 27016624 39629904 40524936 52839872 54033248 79259808 81049872 105679744 108066496 158519616 162099744 216132992 317039232 324199488 648398976 1450672877 2901345754 4352018631 5802691508 8704037262 11605383016 17408074524 23210766032 34816149048 44970859187 46421532064 69632298096 89941718374 92843064128 134912577561 139264596192 179883436748 185686128256 269825155122 278529192384 359766873496 539650310244 557058384768 719533746992 1079300620488 1439067493984 2158601240976 2878134987968 4317202481952 5756269975936 8634404963904 17268809927808