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2756198016 = 2734112133
BaseRepresentation
bin1010010001001000…
…0011111010000000
321010002021100220000
42210102003322000
521121041314031
61133254520000
7125205203505
oct24422037200
97102240800
102756198016
111194890400
1264b066000
1334c032000
141c20a14ac
15111e863e6
hexa4483e80

2756198016 has 480 divisors, whose sum is σ = 9766841700. Its totient is φ = 770964480.

The previous prime is 2756198009. The next prime is 2756198033. The reversal of 2756198016 is 6108916572.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2756198016 is a `hidden beast` number, since 2 + 7 + 561 + 9 + 80 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 858724416 + 1897473600 = 29304^2 + 43560^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 212015226 + ... + 212015238.

Almost surely, 22756198016 is an apocalyptic number.

2756198016 is a gapful number since it is divisible by the number (26) 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 2756198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883420850).

2756198016 is an abundant number, since it is smaller than the sum of its proper divisors (7010643684).

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

2756198016 is an equidigital number, since it uses as much as digits as its factorization.

2756198016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2756198016 is about 52499.5049119513. The cubic root of 2756198016 is about 1402.0714261438.

The spelling of 2756198016 in words is "two billion, seven hundred fifty-six million, one hundred ninety-eight thousand, sixteen".