Search a number
-
+
181669061488896 = 283441920909419
BaseRepresentation
bin101001010011101000011111…
…111000000111000100000000
3212211020101121020211011120000
4221103220133320013010000
5142302431214220121041
61442213340435320000
753160104461663422
oct5123503770070400
9784211536734500
10181669061488896
1152981464120563
1218460821150000
137a4a41ba8a207
1432c0b881a6812
151600968815bb6
hexa53a1fe07100

181669061488896 has 180 divisors, whose sum is σ = 542997146168400. Its totient is φ = 60411825036288.

The previous prime is 181669061488861. The next prime is 181669061488921. The reversal of 181669061488896 is 698884160966181.

181669061488896 is a `hidden beast` number, since 1 + 8 + 16 + 69 + 0 + 61 + 488 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1766326 + ... + 19143093.

Almost surely, 2181669061488896 is an apocalyptic number.

181669061488896 is a gapful number since it is divisible by the number (16) 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 181669061488896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271498573084200).

181669061488896 is an abundant number, since it is smaller than the sum of its proper divisors (361328084679504).

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

181669061488896 is an equidigital number, since it uses as much as digits as its factorization.

181669061488896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20909866 (or 20909843 counting only the distinct ones).

The product of its (nonzero) digits is 1719926784, while the sum is 81.

The spelling of 181669061488896 in words is "one hundred eighty-one trillion, six hundred sixty-nine billion, sixty-one million, four hundred eighty-eight thousand, eight hundred ninety-six".