Search a number
-
+
10526056064 = 27791040947
BaseRepresentation
bin10011100110110011…
…01101111010000000
31000011120122001101022
421303121231322000
5133024132243224
64500253525012
7521563000046
oct116331557200
930146561338
1010526056064
114511758797
1220591a3768
13cb9996354
1471bd7c396
1541917165e
hex27366de80

10526056064 has 32 divisors (see below), whose sum is σ = 21235339200. Its totient is φ = 5196402432.

The previous prime is 10526056027. The next prime is 10526056067. The reversal of 10526056064 is 46065062501.

10526056064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105260560642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10526056067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 510362 + ... + 530585.

It is an arithmetic number, because the mean of its divisors is an integer number (663604350).

Almost surely, 210526056064 is an apocalyptic number.

It is an amenable number.

10526056064 is an abundant number, since it is smaller than the sum of its proper divisors (10709283136).

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

10526056064 is an equidigital number, since it uses as much as digits as its factorization.

10526056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041040 (or 1041028 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 10526056064 in words is "ten billion, five hundred twenty-six million, fifty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 5056 10112 1040947 2081894 4163788 8327576 16655152 33310304 66620608 82234813 133241216 164469626 328939252 657878504 1315757008 2631514016 5263028032 10526056064