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23213828090880 = 2103257292519887
BaseRepresentation
bin1010100011100111000111…
…11110100010110000000000
310001012012221121000021012100
411101303203332202300000
511020313404442402010
6121212141351430400
74614100205041530
oct521634376426000
9101165847007170
1023213828090880
11743aa24857299
12272abb4085400
13cc5092c416ab
145a37ab95d4c0
152a3ca1a262c0
hex151ce3fa2c00

23213828090880 has 1056 divisors, whose sum is σ = 95484457635840. Its totient is φ = 5102125056000.

The previous prime is 23213828090867. The next prime is 23213828090899. The reversal of 23213828090880 is 8809082831232.

It is a happy number.

23213828090880 is a `hidden beast` number, since 2 + 3 + 21 + 382 + 80 + 90 + 8 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2347909297 + ... + 2347919183.

Almost surely, 223213828090880 is an apocalyptic number.

23213828090880 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 23213828090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47742228817920).

23213828090880 is an abundant number, since it is smaller than the sum of its proper divisors (72270629544960).

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

23213828090880 is a wasteful number, since it uses less digits than its factorization.

23213828090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10205 (or 10184 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 23213828090880 in words is "twenty-three trillion, two hundred thirteen billion, eight hundred twenty-eight million, ninety thousand, eight hundred eighty".