Search a number
-
+
26886529152 = 273373135851
BaseRepresentation
bin11001000010100011…
…111110000010000000
32120101202202012022000
4121002203332002000
5420030422413102
620203531344000
71641162504240
oct310243760200
976352665260
1026886529152
111044782132a
1252642b2000
1326c6331762
141430b45b20
15a7561e01c
hex6428fe080

26886529152 has 256 divisors, whose sum is σ = 93616742400. Its totient is φ = 7433856000.

The previous prime is 26886529151. The next prime is 26886529169. The reversal of 26886529152 is 25192568862.

26886529152 is a `hidden beast` number, since 2 + 68 + 8 + 6 + 529 + 1 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26886529151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 732027 + ... + 767877.

It is an arithmetic number, because the mean of its divisors is an integer number (365690400).

Almost surely, 226886529152 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 26886529152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46808371200).

26886529152 is an abundant number, since it is smaller than the sum of its proper divisors (66730213248).

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

26886529152 is a wasteful number, since it uses less digits than its factorization.

26886529152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35912 (or 35894 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 26886529152 in words is "twenty-six billion, eight hundred eighty-six million, five hundred twenty-nine thousand, one hundred fifty-two".