Search a number
-
+
7040888064 = 28357192337
BaseRepresentation
bin1101000111010101…
…10110110100000000
3200011200200011200000
412203222312310000
5103404431404224
63122354400000
7336323363310
oct64352666400
920150604600
107040888064
112a93441461
121445b90000
13882920a72
144ab161440
152b31e40c9
hex1a3ab6d00

7040888064 has 864 divisors, whose sum is σ = 27141703680. Its totient is φ = 1773674496.

The previous prime is 7040888017. The next prime is 7040888089. The reversal of 7040888064 is 4608880407.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190294254 + ... + 190294290.

Almost surely, 27040888064 is an apocalyptic number.

7040888064 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7040888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570851840).

7040888064 is an abundant number, since it is smaller than the sum of its proper divisors (20100815616).

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

7040888064 is a wasteful number, since it uses less digits than its factorization.

7040888064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 7040888064 is about 83909.9997854844. Note that the first 3 decimals coincide. The cubic root of 7040888064 is about 1916.6485282148.

The spelling of 7040888064 in words is "seven billion, forty million, eight hundred eighty-eight thousand, sixty-four".