Search a number
-
+
1089474527232 = 2173371317199
BaseRepresentation
bin11111101101010011011…
…11100000000000000000
310212011010100112100111000
433312221233200000000
5120322220434332412
62152255300052000
7141466123454010
oct17665157400000
93764110470430
101089474527232
11390052a71573
12157192994000
137b977287590
143aa3363bc40
151d5168e74dc
hexfda9be0000

1089474527232 has 1152 divisors, whose sum is σ = 4227842304000. Its totient is φ = 269072990208.

The previous prime is 1089474527159. The next prime is 1089474527287. The reversal of 1089474527232 is 2327254749801.

1089474527232 is a `hidden beast` number, since 1 + 0 + 8 + 94 + 7 + 4 + 527 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5474746269 + ... + 5474746467.

It is an arithmetic number, because the mean of its divisors is an integer number (3670002000).

Almost surely, 21089474527232 is an apocalyptic number.

1089474527232 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 1089474527232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113921152000).

1089474527232 is an abundant number, since it is smaller than the sum of its proper divisors (3138367776768).

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

1089474527232 is an equidigital number, since it uses as much as digits as its factorization.

1089474527232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1089474527232 in words is "one trillion, eighty-nine billion, four hundred seventy-four million, five hundred twenty-seven thousand, two hundred thirty-two".