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110996143920 = 24325794874007
BaseRepresentation
bin110011101011111100…
…0101011111100110000
3101121111111211022221100
41213113320223330300
53304310003101140
6122554012324400
711006405441064
oct1472770537460
9347444738840
10110996143920
114308947a852
1219618473700
13a60b9b6b8c
14552d609aa4
152d497b6530
hex19d7e2bf30

110996143920 has 240 divisors, whose sum is σ = 378350069760. Its totient is φ = 29157014016.

The previous prime is 110996143891. The next prime is 110996143933. The reversal of 110996143920 is 29341699011.

110996143920 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 9 + 614 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 27698557 + ... + 27702563.

It is an arithmetic number, because the mean of its divisors is an integer number (1576458624).

Almost surely, 2110996143920 is an apocalyptic number.

110996143920 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 110996143920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189175034880).

110996143920 is an abundant number, since it is smaller than the sum of its proper divisors (267353925840).

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

110996143920 is a wasteful number, since it uses less digits than its factorization.

110996143920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4592 (or 4583 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 110996143920 in words is "one hundred ten billion, nine hundred ninety-six million, one hundred forty-three thousand, nine hundred twenty".