Search a number
-
+
1068379342254 = 2327517293709
BaseRepresentation
bin11111000110000000101…
…11110000010110101110
310210010200012012220212200
433203000113300112232
5120001020102423004
62134450125042330
7140121302400000
oct17430027602656
93703605186780
101068379342254
113821083168a4
121530860b63a6
1379994a267c3
14399d1b0c370
151cbce947239
hexf8c05f05ae

1068379342254 has 288 divisors, whose sum is σ = 2873267691840. Its totient is φ = 285910926336.

The previous prime is 1068379342223. The next prime is 1068379342259. The reversal of 1068379342254 is 4522439738601.

1068379342254 is a `hidden beast` number, since 1 + 0 + 6 + 83 + 7 + 93 + 422 + 54 = 666.

1068379342254 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10683793422542 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1068379342254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068379342259) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1506881652 + ... + 1506882360.

It is an arithmetic number, because the mean of its divisors is an integer number (9976623930).

It is a 1-persistent number, because it is pandigital, but 2⋅1068379342254 = 2136758684508 is not.

Almost surely, 21068379342254 is an apocalyptic number.

1068379342254 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068379342254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436633845920).

1068379342254 is an abundant number, since it is smaller than the sum of its proper divisors (1804888349586).

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

1068379342254 is an equidigital number, since it uses as much as digits as its factorization.

1068379342254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1068379342254 in words is "one trillion, sixty-eight billion, three hundred seventy-nine million, three hundred forty-two thousand, two hundred fifty-four".