Search a number
-
+
2536223317056 = 263511131140421
BaseRepresentation
bin100100111010000010101…
…100001001110001000000
322222110102202121201200000
4210322002230021301000
5313023141132121211
65221042551400000
7351143656331652
oct44720254116100
98873382551600
102536223317056
11898673a41550
1234b654083000
1315521b1a2460
148aa7a85c6d2
1545e8dc85656
hex24e82b09c40

2536223317056 has 336 divisors, whose sum is σ = 8856863940288. Its totient is φ = 709432473600.

The previous prime is 2536223317039. The next prime is 2536223317063. The reversal of 2536223317056 is 6507133226352.

2536223317056 is a `hidden beast` number, since 2 + 5 + 3 + 622 + 3 + 3 + 17 + 0 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1653726 + ... + 2794146.

It is an arithmetic number, because the mean of its divisors is an integer number (26359714108).

Almost surely, 22536223317056 is an apocalyptic number.

2536223317056 is a gapful number since it is divisible by the number (26) 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 2536223317056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428431970144).

2536223317056 is an abundant number, since it is smaller than the sum of its proper divisors (6320640623232).

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

2536223317056 is a wasteful number, since it uses less digits than its factorization.

2536223317056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140472 (or 1140450 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 2536223317056 in words is "two trillion, five hundred thirty-six billion, two hundred twenty-three million, three hundred seventeen thousand, fifty-six".