Search a number
-
+
10000060064 = 25417621997
BaseRepresentation
bin10010101000000110…
…01100111010100000
3221210220212200111222
421110003030322200
5130440003410224
64332143554212
7502545052031
oct112403147240
927726780458
1010000060064
114271856155
121b30bbb968
13c34a0b907
146ac17aa88
153d7dc0b5e
hex2540ccea0

10000060064 has 24 divisors (see below), whose sum is σ = 20167806708. Its totient is φ = 4878077440.

The previous prime is 10000060061. The next prime is 10000060117. The reversal of 10000060064 is 46006000001.

It can be written as a sum of positive squares in 2 ways, for example, as 9782792464 + 217267600 = 98908^2 + 14740^2 .

It is not an unprimeable number, because it can be changed into a prime (10000060061) 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 3 ways as a sum of consecutive naturals, for example, 3809687 + ... + 3812310.

Almost surely, 210000060064 is an apocalyptic number.

It is an amenable number.

10000060064 is an abundant number, since it is smaller than the sum of its proper divisors (10167746644).

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

10000060064 is an equidigital number, since it uses as much as digits as its factorization.

10000060064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7622048 (or 7622040 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10000060064 its reverse (46006000001), we get a palindrome (56006060065).

The spelling of 10000060064 in words is "ten billion, sixty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 7621997 15243994 30487988 60975976 121951952 243903904 312501877 625003754 1250007508 2500015016 5000030032 10000060064