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109611940680 = 233251179350377
BaseRepresentation
bin110011000010101100…
…0010111101101001000
3101110221001012112001200
41212011120113231020
53243441124100210
6122204404144200
710630200060114
oct1460530275510
9343831175050
10109611940680
11425390a0430
12192b0998060
13a44aca95c8
14543b84a744
152cb7ee20c0
hex1985617b48

109611940680 has 192 divisors, whose sum is σ = 393544569600. Its totient is φ = 26236154880.

The previous prime is 109611940667. The next prime is 109611940681. The reversal of 109611940680 is 86049116901.

109611940680 is a `hidden beast` number, since 109 + 61 + 1 + 9 + 406 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (109611940681) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 137652 + ... + 488028.

It is an arithmetic number, because the mean of its divisors is an integer number (2049711300).

Almost surely, 2109611940680 is an apocalyptic number.

109611940680 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 109611940680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196772284800).

109611940680 is an abundant number, since it is smaller than the sum of its proper divisors (283932628920).

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

109611940680 is a wasteful number, since it uses less digits than its factorization.

109611940680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350484 (or 350477 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 109611940680 in words is "one hundred nine billion, six hundred eleven million, nine hundred forty thousand, six hundred eighty".