Search a number
-
+
1055734272000 = 21232531713477
BaseRepresentation
bin11110101110011101010…
…10101001000000000000
310201221000221021210111100
433113032222221000000
5114244120433201000
62124555253214400
7136163036150652
oct17271652510000
93657027253440
101055734272000
11377809523411
12150737331400
137872b045b05
14391525746d2
151c6de754a00
hexf5ceaa9000

1055734272000 has 624 divisors, whose sum is σ = 4029979470192. Its totient is φ = 264948940800.

The previous prime is 1055734271987. The next prime is 1055734272127. The reversal of 1055734272000 is 2724375501.

1055734272000 is a `hidden beast` number, since 1 + 0 + 557 + 34 + 2 + 72 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 132659122176 + 923075149824 = 364224^2 + 960768^2 .

It is a super-2 number, since 2×10557342720002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78329262 + ... + 78342738.

It is an arithmetic number, because the mean of its divisors is an integer number (6458300433).

Almost surely, 21055734272000 is an apocalyptic number.

1055734272000 is a gapful number since it is divisible by the number (10) 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 1055734272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014989735096).

1055734272000 is an abundant number, since it is smaller than the sum of its proper divisors (2974245198192).

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

1055734272000 is a wasteful number, since it uses less digits than its factorization.

1055734272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13539 (or 13504 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 1055734272000 in words is "one trillion, fifty-five billion, seven hundred thirty-four million, two hundred seventy-two thousand".