Search a number
-
+
1253193182208 = 21034112236189
BaseRepresentation
bin10010001111001000001…
…000100110110000000000
311102210201012001202010000
4102033020020212300000
5131013014423312313
62355413051040000
7156353203201632
oct22171010466000
94383635052100
101253193182208
11443526976200
12182a63a40000
1391238a79c56
1444924d8aa52
15228e9a83673
hex123c8226c00

1253193182208 has 1320 divisors, whose sum is σ = 4411642324320. Its totient is φ = 353275084800.

The previous prime is 1253193182201. The next prime is 1253193182239. The reversal of 1253193182208 is 8022813913521.

1253193182208 is a `hidden beast` number, since 1 + 2 + 531 + 9 + 31 + 82 + 2 + 0 + 8 = 666.

It is a super-2 number, since 2×12531931822082 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1253193182201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14080822228 + ... + 14080822316.

It is an arithmetic number, because the mean of its divisors is an integer number (3342153276).

Almost surely, 21253193182208 is an apocalyptic number.

1253193182208 is a gapful number since it is divisible by the number (18) 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 1253193182208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205821162160).

1253193182208 is an abundant number, since it is smaller than the sum of its proper divisors (3158449142112).

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

1253193182208 is a wasteful number, since it uses less digits than its factorization.

1253193182208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1253193182208 in words is "one trillion, two hundred fifty-three billion, one hundred ninety-three million, one hundred eighty-two thousand, two hundred eight".