Search a number
-
+
1368744394752 = 217327315347
BaseRepresentation
bin10011111010101111100…
…001100000000000000000
311211211222011001112111200
4103322233201200000000
5134411142031113002
62524443102341200
7200613522251340
oct23725741400000
94754864045450
101368744394752
11488532589479
121a133188a800
139c0c237bab7
144a367518d20
152590e1b4b1c
hex13eaf860000

1368744394752 has 432 divisors, whose sum is σ = 4665658862592. Its totient is φ = 378383892480.

The previous prime is 1368744394751. The next prime is 1368744394769. The reversal of 1368744394752 is 2574934478631.

1368744394752 is a `hidden beast` number, since 1 + 3 + 68 + 74 + 4 + 39 + 475 + 2 = 666.

It is a super-2 number, since 2×13687443947522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1368744394752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368744394751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255980943 + ... + 255986289.

It is an arithmetic number, because the mean of its divisors is an integer number (10800136256).

Almost surely, 21368744394752 is an apocalyptic number.

1368744394752 is a gapful number since it is divisible by the number (12) 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 1368744394752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332829431296).

1368744394752 is an abundant number, since it is smaller than the sum of its proper divisors (3296914467840).

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

1368744394752 is an frugal number, since it uses more digits than its factorization.

1368744394752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425 (or 5390 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 1368744394752 in words is "one trillion, three hundred sixty-eight billion, seven hundred forty-four million, three hundred ninety-four thousand, seven hundred fifty-two".