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26555220480 = 293531311047
BaseRepresentation
bin11000101110110100…
…001000001000000000
32112112200022222020110
4120232310020020000
5413341114023410
620111014311320
71630030435605
oct305664101000
975480288213
1026555220480
1110297803208
125191358540
1326727c1119
1413dcb426ac
15a564c8720
hex62ed08200

26555220480 has 160 divisors (see below), whose sum is σ = 85172655744. Its totient is φ = 7058128896.

The previous prime is 26555220479. The next prime is 26555220491. The reversal of 26555220480 is 8402255562.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×265552204802 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2398317 + ... + 2409363.

Almost surely, 226555220480 is an apocalyptic number.

26555220480 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 26555220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42586327872).

26555220480 is an abundant number, since it is smaller than the sum of its proper divisors (58617435264).

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

26555220480 is a wasteful number, since it uses less digits than its factorization.

26555220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11386 (or 11370 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 26555220480 in words is "twenty-six billion, five hundred fifty-five million, two hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 313 320 384 480 512 626 640 768 939 960 1252 1280 1536 1565 1878 1920 2504 2560 3130 3756 3840 4695 5008 6260 7512 7680 9390 10016 11047 12520 15024 18780 20032 22094 25040 30048 33141 37560 40064 44188 50080 55235 60096 66282 75120 80128 88376 100160 110470 120192 132564 150240 160256 165705 176752 200320 220940 240384 265128 300480 331410 353504 400640 441880 480768 530256 600960 662820 707008 801280 883760 1060512 1201920 1325640 1414016 1767520 2121024 2403840 2651280 2828032 3457711 3535040 4242048 5302560 5656064 6915422 7070080 8484096 10373133 10605120 13830844 14140160 16968192 17288555 20746266 21210240 27661688 28280320 34577110 41492532 42420480 51865665 55323376 69154220 82985064 84840960 103731330 110646752 138308440 165970128 207462660 221293504 276616880 331940256 414925320 442587008 553233760 663880512 829850640 885174016 1106467520 1327761024 1659701280 1770348032 2212935040 2655522048 3319402560 4425870080 5311044096 6638805120 8851740160 13277610240 26555220480