Search a number
-
+
1268490304512 = 21032172641743
BaseRepresentation
bin10010011101010111111…
…010011111110000000000
311111021012021022001222100
4102131113322133300000
5131240332004221022
62410423021310400
7160434241454064
oct22352772376000
94437167261870
101268490304512
11449a66786642
12185a12a05400
1392806027002
1445576835aa4
1522ee29d91ac
hex12757e9fc00

1268490304512 has 396 divisors, whose sum is σ = 3902182114896. Its totient is φ = 396802129920.

The previous prime is 1268490304453. The next prime is 1268490304513. The reversal of 1268490304512 is 2154030948621.

1268490304512 is a `hidden beast` number, since 1 + 2 + 6 + 84 + 90 + 30 + 451 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268490304513) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1707254413 + ... + 1707255155.

Almost surely, 21268490304512 is an apocalyptic number.

1268490304512 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 1268490304512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951091057448).

1268490304512 is an abundant number, since it is smaller than the sum of its proper divisors (2633691810384).

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

1268490304512 is a wasteful number, since it uses less digits than its factorization.

1268490304512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1268490304512 in words is "one trillion, two hundred sixty-eight billion, four hundred ninety million, three hundred four thousand, five hundred twelve".