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984955017601 = 9924492
BaseRepresentation
bin11100101010100111110…
…01001101100110000001
310111011100012122010112201
432111103321031212001
5112114141441030401
62032252044153201
7131106050340412
oct16252371154601
93434305563481
10984955017601
1134a79847aa45
1213aa83538801
1371b5b3301a9
143595a273809
151a94aa18b01
hexe553e4d981

984955017601 has 3 divisors (see below), whose sum is σ = 984956010051. Its totient is φ = 984954025152.

The previous prime is 984955017589. The next prime is 984955017643. The reversal of 984955017601 is 106710559489.

It is a happy number.

The square root of 984955017601 is 992449.

It is a perfect power (a square), and thus also a powerful number.

984955017601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 106710559489 = 234639589543.

It can be written as a sum of positive squares in only one way, i.e., 959712163201 + 25242854400 = 979649^2 + 158880^2 .

It is a de Polignac number, because none of the positive numbers 2k-984955017601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (984955017691) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 496225 + ... + 1488673.

It is an arithmetic number, because the mean of its divisors is an integer number (328318670017).

Almost surely, 2984955017601 is an apocalyptic number.

984955017601 is the 992449-th square number.

984955017601 is the 496225-th centered octagonal number.

It is an amenable number.

984955017601 is a deficient number, since it is larger than the sum of its proper divisors (992450).

984955017601 is an frugal number, since it uses more digits than its factorization.

984955017601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984898 (or 992449 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 55.

The spelling of 984955017601 in words is "nine hundred eighty-four billion, nine hundred fifty-five million, seventeen thousand, six hundred one".

Divisors: 1 992449 984955017601