Search a number
-
+
27825011343360 = 2143757112017
BaseRepresentation
bin1100101001110100000111…
…11010101100000000000000
310122112001012212211010000000
412110322003322230000000
512121341110400441420
6135102344520000000
75601201502011420
oct624720372540000
9118461185733000
1027825011343360
118958580563580
123154810000000
13126ab6c56438a
146c2a484b6480
15333bd453a690
hex194e83eac000

27825011343360 has 1920 divisors, whose sum is σ = 124926384199680. Its totient is φ = 5778953994240.

The previous prime is 27825011343341. The next prime is 27825011343383. The reversal of 27825011343360 is 6334311052872.

27825011343360 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 501 + 134 + 3 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×278250113433602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 13795245072 + ... + 13795247088.

It is an arithmetic number, because the mean of its divisors is an integer number (65065825104).

Almost surely, 227825011343360 is an apocalyptic number.

27825011343360 is a gapful number since it is divisible by the number (20) 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 27825011343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62463192099840).

27825011343360 is an abundant number, since it is smaller than the sum of its proper divisors (97101372856320).

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

27825011343360 is an frugal number, since it uses more digits than its factorization.

27825011343360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 27825011343360 in words is "twenty-seven trillion, eight hundred twenty-five billion, eleven million, three hundred forty-three thousand, three hundred sixty".