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109052549982720 = 293252328947417
BaseRepresentation
bin11000110010111011000110…
…100000001110101000000000
3112022010022200201012001221100
4120302323012200032220000
5103243204110243421340
61023534014433454400
731653533564325321
oct3062730640165000
9468108621161840
10109052549982720
1131824a21520093
1210293146411400
1348b07c4155366
141cd0258b6a448
15c91a91641830
hex632ec680ea00

109052549982720 has 360 divisors, whose sum is σ = 394814500356276. Its totient is φ = 27816299495424.

The previous prime is 109052549982707. The next prime is 109052549982737. The reversal of 109052549982720 is 27289945250901.

109052549982720 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 5 + 2 + 549 + 9 + 82 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101574469069056 + 7478080913664 = 10078416^2 + 2734608^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7714452 + ... + 16661868.

Almost surely, 2109052549982720 is an apocalyptic number.

109052549982720 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 109052549982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197407250178138).

109052549982720 is an abundant number, since it is smaller than the sum of its proper divisors (285761950373556).

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

109052549982720 is an equidigital number, since it uses as much as digits as its factorization.

109052549982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8947492 (or 8947450 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 109052549982720 in words is "one hundred nine trillion, fifty-two billion, five hundred forty-nine million, nine hundred eighty-two thousand, seven hundred twenty".