Search a number
-
+
26375118003840 = 273542973196891
BaseRepresentation
bin1011111111100111011111…
…00010100001111010000000
310110101102210022201001120110
411333303233202201322000
511424112220202110330
6132032321213511320
75361353003661204
oct577635742417200
9113342708631513
1026375118003840
1184496965738a1
122b5b8117a2540
131194217023ac8
146727c37c2b04
1530b1260a3db0
hex17fcef8a1e80

26375118003840 has 128 divisors (see below), whose sum is σ = 84090279913920. Its totient is φ = 7031725793280.

The previous prime is 26375118003779. The next prime is 26375118003869. The reversal of 26375118003840 is 4830081157362.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26375118003840.

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, 6651795 + ... + 9848685.

Almost surely, 226375118003840 is an apocalyptic number.

26375118003840 is a gapful number since it is divisible by the number (20) 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 26375118003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42045139956960).

26375118003840 is an abundant number, since it is smaller than the sum of its proper divisors (57715161910080).

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

26375118003840 is a wasteful number, since it uses less digits than its factorization.

26375118003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201210 (or 3201198 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 26375118003840 in words is "twenty-six trillion, three hundred seventy-five billion, one hundred eighteen million, three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 4297 8594 12891 17188 21485 25782 34376 42970 51564 64455 68752 85940 103128 128910 137504 171880 206256 257820 275008 343760 412512 515640 550016 687520 825024 1031280 1375040 1650048 2062560 2750080 3196891 4125120 6393782 8250240 9590673 12787564 15984455 19181346 25575128 31968910 38362692 47953365 51150256 63937820 76725384 95906730 102300512 127875640 153450768 191813460 204601024 255751280 306901536 383626920 409202048 511502560 613803072 767253840 1023005120 1227606144 1534507680 2046010240 3069015360 6138030720 13737040627 27474081254 41211121881 54948162508 68685203135 82422243762 109896325016 137370406270 164844487524 206055609405 219792650032 274740812540 329688975048 412111218810 439585300064 549481625080 659377950096 824222437620 879170600128 1098963250160 1318755900192 1648444875240 1758341200256 2197926500320 2637511800384 3296889750480 4395853000640 5275023600768 6593779500960 8791706001280 13187559001920 26375118003840