Search a number
-
+
4096781027712 = 2735269659743
BaseRepresentation
bin111011100111011011001…
…011011000100110000000
3112111122111201021022100000
4323213123023120212000
51014110201420341322
612414011335200000
7601661024112552
oct73473313304600
915448451238300
104096781027712
11133a4870a619a
12561b97816000
1323942b755c39
141023dca774d2
15718777ea3ac
hex3b9db2d8980

4096781027712 has 384 divisors, whose sum is σ = 12306149856000. Its totient is φ = 1356624267264.

The previous prime is 4096781027711. The next prime is 4096781027719. The reversal of 4096781027712 is 2177201876904.

4096781027712 is a `hidden beast` number, since 409 + 67 + 8 + 102 + 7 + 71 + 2 = 666.

4096781027712 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 (384).

It is a super-2 number, since 2×40967810277122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4096781027711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5513836813 + ... + 5513837555.

It is an arithmetic number, because the mean of its divisors is an integer number (32047265250).

Almost surely, 24096781027712 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 4096781027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153074928000).

4096781027712 is an abundant number, since it is smaller than the sum of its proper divisors (8209368828288).

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

4096781027712 is an equidigital number, since it uses as much as digits as its factorization.

4096781027712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 4096781027712 in words is "four trillion, ninety-six billion, seven hundred eighty-one million, twenty-seven thousand, seven hundred twelve".