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2604064064 = 26710953327
BaseRepresentation
bin1001101100110110…
…1101110101000000
320201111000011100012
42123031231311000
520313120022224
61110222044052
7121350115340
oct23315556500
96644004305
102604064064
111116a20968
12608119628
13326666a14
141a9bbcd20
1510393480e
hex9b36dd40

2604064064 has 56 divisors (see below), whose sum is σ = 5959937280. Its totient is φ = 1105767936.

The previous prime is 2604064049. The next prime is 2604064081. The reversal of 2604064064 is 4604604062.

2604064064 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 (56).

It is a super-2 number, since 2×26040640642 = 13562299298832392192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2604064064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22169 + ... + 75495.

Almost surely, 22604064064 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 2604064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979968640).

2604064064 is an abundant number, since it is smaller than the sum of its proper divisors (3355873216).

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

2604064064 is a wasteful number, since it uses less digits than its factorization.

2604064064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53455 (or 53445 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 2604064064 is about 51030.0310013623. The cubic root of 2604064064 is about 1375.7849515199.

The spelling of 2604064064 in words is "two billion, six hundred four million, sixty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 218 224 436 448 763 872 1526 1744 3052 3488 6104 6976 12208 24416 48832 53327 106654 213308 373289 426616 746578 853232 1493156 1706464 2986312 3412928 5812643 5972624 11625286 11945248 23250572 23890496 40688501 46501144 81377002 93002288 162754004 186004576 325508008 372009152 651016016 1302032032 2604064064