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2793016801 = 41212892
BaseRepresentation
bin1010011001111010…
…0000110111100001
321012122112221202201
42212132200313201
521210003014201
61141052013201
7126133152061
oct24636406741
97178487681
102793016801
111203648953
1265b461201
13356853883
141c6d273a1
1511530a801
hexa67a0de1

2793016801 has 9 divisors (see below), whose sum is σ = 2865023353. Its totient is φ = 2722780480.

The previous prime is 2793016789. The next prime is 2793016813. The reversal of 2793016801 is 1086103972.

The square root of 2793016801 is 52849.

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

2793016801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2793016789) and next prime (2793016813).

It can be written as a sum of positive squares in 4 ways, for example, as 142826401 + 2650190400 = 11951^2 + 51480^2 .

It is not a de Polignac number, because 2793016801 - 219 = 2792492513 is a prime.

It is a super-3 number, since 3×27930168013 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2793016861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2166165 + ... + 2167453.

Almost surely, 22793016801 is an apocalyptic number.

2793016801 is the 52849-th square number.

2793016801 is the 26425-th centered octagonal number.

It is an amenable number.

2793016801 is a deficient number, since it is larger than the sum of its proper divisors (72006552).

2793016801 is an frugal number, since it uses more digits than its factorization.

2793016801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The cubic root of 2793016801 is about 1408.2870402610.

The spelling of 2793016801 in words is "two billion, seven hundred ninety-three million, sixteen thousand, eight hundred one".

Divisors: 1 41 1289 1681 52849 1661521 2166809 68122361 2793016801