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109892395008 = 213331131247
BaseRepresentation
bin110011001011000011…
…0001110000000000000
3101111122120221002002000
41212112012032000000
53300024423120013
6122252303224000
710640143642164
oct1462606160000
9344576832060
10109892395008
1142672434970
121936a8a8000
13a494122a06
145466bb2ca4
152cd293e973
hex199618e000

109892395008 has 672 divisors, whose sum is σ = 374822069760. Its totient is φ = 31540838400.

The previous prime is 109892394943. The next prime is 109892395021. The reversal of 109892395008 is 800593298901.

109892395008 is a `hidden beast` number, since 10 + 9 + 8 + 92 + 39 + 500 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2338136041 + ... + 2338136087.

Almost surely, 2109892395008 is an apocalyptic number.

109892395008 is a gapful number since it is divisible by the number (18) 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 109892395008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187411034880).

109892395008 is an abundant number, since it is smaller than the sum of its proper divisors (264929674752).

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

109892395008 is an equidigital number, since it uses as much as digits as its factorization.

109892395008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 109892395008 in words is "one hundred nine billion, eight hundred ninety-two million, three hundred ninety-five thousand, eight".