Search a number
-
+
2796416718001 = 277260372
BaseRepresentation
bin101000101100010111011…
…011001101010010110001
3100220100001002102000010121
4220230113123031102301
5331304030134434001
65540353415130241
7406014545624554
oct50542733152261
910810032360117
102796416718001
11988a543757a5
12391b6a373981
1317391603522a
14994c0d7869b
154cb1b9116a1
hex28b176cd4b1

2796416718001 has 9 divisors (see below), whose sum is σ = 2807013498849. Its totient is φ = 2785859810064.

The previous prime is 2796416717999. The next prime is 2796416718013. The reversal of 2796416718001 is 1008176146972.

It is a happy number.

The square root of 2796416718001 is 1672249.

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

2796416718001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1115556327601 + 1680860390400 = 1056199^2 + 1296480^2 .

It is not a de Polignac number, because 2796416718001 - 21 = 2796416717999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2796416718001.

It is not an unprimeable number, because it can be changed into a prime (2796416718061) 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, 463209955 + ... + 463215991.

It is an arithmetic number, because the mean of its divisors is an integer number (311890388761).

Almost surely, 22796416718001 is an apocalyptic number.

2796416718001 is the 1672249-th square number.

2796416718001 is the 836125-th centered octagonal number.

It is an amenable number.

2796416718001 is a deficient number, since it is larger than the sum of its proper divisors (10596780848).

2796416718001 is an frugal number, since it uses more digits than its factorization.

2796416718001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12628 (or 6314 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 2796416718001 in words is "two trillion, seven hundred ninety-six billion, four hundred sixteen million, seven hundred eighteen thousand, one".

Divisors: 1 277 6037 76729 1672249 36445369 463212973 10095367213 2796416718001