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189897349898880 = 27335133121078221
BaseRepresentation
bin101011001011010111101100…
…000101011010001010000000
3220220101000020211010101012000
4223023113230011122022000
5144342234233033231010
61511513345504304000
754666426233322321
oct5313275405321200
9826330224111160
10189897349898880
115556401744a018
121936b466312000
1381c632158b870
1434c711b910448
1516e49ec4367c0
hexacb5ec15a280

189897349898880 has 1536 divisors, whose sum is σ = 755492111942400. Its totient is φ = 44807874969600.

The previous prime is 189897349898803. The next prime is 189897349898933. The reversal of 189897349898880 is 88898943798981.

189897349898880 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 97 + 349 + 8 + 98 + 8 + 80 = 666.

It is a super-2 number, since 2×1898973498988802 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23099053170 + ... + 23099061390.

Almost surely, 2189897349898880 is an apocalyptic number.

189897349898880 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 189897349898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377746055971200).

189897349898880 is an abundant number, since it is smaller than the sum of its proper divisors (565594762043520).

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

189897349898880 is a wasteful number, since it uses less digits than its factorization.

189897349898880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8431 (or 8382 counting only the distinct ones).

The product of its (nonzero) digits is 144473849856, while the sum is 99.

The spelling of 189897349898880 in words is "one hundred eighty-nine trillion, eight hundred ninety-seven billion, three hundred forty-nine million, eight hundred ninety-eight thousand, eight hundred eighty".