Search a number
-
+
2253591010656 = 25332608322929
BaseRepresentation
bin100000110010110100011…
…111011101110101100000
321222102220122001221122000
4200302310133131311200
5243410323244320111
64443141352244000
7321550041346446
oct40626437356540
97872818057560
102253591010656
11799819413537
123049170a0600
131346885a682b
147b108190b96
153d94b1cec56
hex20cb47ddd60

2253591010656 has 48 divisors (see below), whose sum is σ = 6572973783600. Its totient is φ = 751197003264.

The previous prime is 2253591010651. The next prime is 2253591010663. The reversal of 2253591010656 is 6560101953522.

2253591010656 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 591 + 0 + 1 + 0 + 6 + 56 = 666.

2253591010656 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253591010651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1304160601 + ... + 1304162328.

It is an arithmetic number, because the mean of its divisors is an integer number (136936953825).

Almost surely, 22253591010656 is an apocalyptic number.

It is an amenable number.

2253591010656 is an abundant number, since it is smaller than the sum of its proper divisors (4319382772944).

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

2253591010656 is a wasteful number, since it uses less digits than its factorization.

2253591010656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608322948 (or 2608322934 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 2253591010656 in words is "two trillion, two hundred fifty-three billion, five hundred ninety-one million, ten thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2608322929 5216645858 7824968787 10433291716 15649937574 20866583432 23474906361 31299875148 41733166864 46949812722 62599750296 70424719083 83466333728 93899625444 125199500592 140849438166 187799250888 250399001184 281698876332 375598501776 563397752664 751197003552 1126795505328 2253591010656