Search a number
-
+
26886581856 = 2533251123979
BaseRepresentation
bin11001000010100100…
…001010111001100000
32120101202211212121000
4121002210022321200
5420030431104411
620203532432000
71641163114011
oct310244127140
976352755530
1026886581856
1110447857992
125264318600
1326c634c744
141430b5b008
15a7562e956
hex64290ae60

26886581856 has 96 divisors (see below), whose sum is σ = 78732259200. Its totient is φ = 8926416000.

The previous prime is 26886581833. The next prime is 26886581923. The reversal of 26886581856 is 65818568862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 26886581793 and 26886581802.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 154875 + ... + 278853.

It is an arithmetic number, because the mean of its divisors is an integer number (820127700).

Almost surely, 226886581856 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 26886581856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39366129600).

26886581856 is an abundant number, since it is smaller than the sum of its proper divisors (51845677344).

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

26886581856 is a wasteful number, since it uses less digits than its factorization.

26886581856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124249 (or 124235 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 63.

The spelling of 26886581856 in words is "twenty-six billion, eight hundred eighty-six million, five hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 251 288 432 502 753 864 1004 1506 2008 2259 3012 4016 4518 6024 6777 8032 9036 12048 13554 18072 24096 27108 36144 54216 72288 108432 123979 216864 247958 371937 495916 743874 991832 1115811 1487748 1983664 2231622 2975496 3347433 3967328 4463244 5950992 6694866 8926488 11901984 13389732 17852976 26779464 31118729 35705952 53558928 62237458 93356187 107117856 124474916 186712374 248949832 280068561 373424748 497899664 560137122 746849496 840205683 995799328 1120274244 1493698992 1680411366 2240548488 2987397984 3360822732 4481096976 6721645464 8962193952 13443290928 26886581856