Search a number
-
+
26969833056 = 2531755729669
BaseRepresentation
bin11001000111100001…
…101111111001100000
32120121120111110202210
4121013201233321200
5420213234124211
620220105042120
71643223540615
oct310741577140
976546443683
1026969833056
111048a849831
125288186340
13270a67a8ca
14143bc2c50c
15a7cac69a6
hex64786fe60

26969833056 has 96 divisors (see below), whose sum is σ = 75097380960. Its totient is φ = 8445648896.

The previous prime is 26969833027. The next prime is 26969833067. The reversal of 26969833056 is 65033896962.

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 = 26969832987 and 26969833005.

It is a congruent number.

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, 894190 + ... + 923858.

It is an arithmetic number, because the mean of its divisors is an integer number (782264385).

Almost surely, 226969833056 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 26969833056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37548690480).

26969833056 is an abundant number, since it is smaller than the sum of its proper divisors (48127547904).

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

26969833056 is a wasteful number, since it uses less digits than its factorization.

26969833056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30256 (or 30248 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 57.

The spelling of 26969833056 in words is "twenty-six billion, nine hundred sixty-nine million, eight hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 557 816 1114 1632 1671 2228 3342 4456 6684 8912 9469 13368 17824 18938 26736 28407 29669 37876 53472 56814 59338 75752 89007 113628 118676 151504 178014 227256 237352 303008 356028 454512 474704 504373 712056 909024 949408 1008746 1424112 1513119 2017492 2848224 3026238 4034984 6052476 8069968 12104952 16139936 16525633 24209904 33051266 48419808 49576899 66102532 99153798 132205064 198307596 264410128 280935761 396615192 528820256 561871522 793230384 842807283 1123743044 1586460768 1685614566 2247486088 3371229132 4494972176 6742458264 8989944352 13484916528 26969833056