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11923955475120 = 24335134161169789
BaseRepresentation
bin1010110110000100001100…
…1000010110001010110000
31120012220210221212222121000
42231201003020112022300
53030330230100200440
641205442312002000
72340322506142233
oct255410310261260
946186727788530
1011923955475120
113887a15010827
121406b38690300
13686568bba1c0
142d31a02c741a
1515a281d2e730
hexad8432162b0

11923955475120 has 640 divisors, whose sum is σ = 46052589945600. Its totient is φ = 2816579174400.

The previous prime is 11923955475119. The next prime is 11923955475139. The reversal of 11923955475120 is 2157455932911.

11923955475120 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 3 + 9 + 554 + 75 + 12 + 0 = 666.

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

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, 70143186 + ... + 70312974.

It is an arithmetic number, because the mean of its divisors is an integer number (71957171790).

Almost surely, 211923955475120 is an apocalyptic number.

11923955475120 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 11923955475120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23026294972800).

11923955475120 is an abundant number, since it is smaller than the sum of its proper divisors (34128634470480).

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

11923955475120 is a wasteful number, since it uses less digits than its factorization.

11923955475120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169926 (or 169914 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 11923955475120 in words is "eleven trillion, nine hundred twenty-three billion, nine hundred fifty-five million, four hundred seventy-five thousand, one hundred twenty".