Search a number
-
+
26134556688 = 24361727753
BaseRepresentation
bin11000010101101111…
…011011000000010000
32111110100210001000000
4120111233123000100
5412010421303223
620001150130000
71613432031552
oct302557330020
974410701000
1026134556688
11100a1304289
1250944b0900
1326065c6236
14139cd1d4d2
15a2e5d2543
hex615bdb010

26134556688 has 210 divisors, whose sum is σ = 80657736074. Its totient is φ = 8198019072.

The previous prime is 26134556647. The next prime is 26134556713. The reversal of 26134556688 is 88665543162.

26134556688 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 4 + 556 + 6 + 88 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 19591041024 + 6543515664 = 139968^2 + 80892^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3367020 + ... + 3374772.

Almost surely, 226134556688 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 26134556688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40328868037).

26134556688 is an abundant number, since it is smaller than the sum of its proper divisors (54523179386).

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

26134556688 is an equidigital number, since it uses as much as digits as its factorization.

26134556688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7813 (or 7775 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 26134556688 in words is "twenty-six billion, one hundred thirty-four million, five hundred fifty-six thousand, six hundred eighty-eight".