Search a number
-
+
2745780875472 = 243139411537901
BaseRepresentation
bin100111111101001101010…
…010110011000011010000
3100201111100012010200112110
4213331031102303003100
5324441324401003342
65501221101225320
7402243003231525
oct47751522630320
910644305120473
102745780875472
1196952a7a3858
12384198562240
1316bc0662a52b
1496c7a01114c
154b65631dc9c
hex27f4d4b30d0

2745780875472 has 40 divisors (see below), whose sum is σ = 7144297978720. Its totient is φ = 908675683200.

The previous prime is 2745780875441. The next prime is 2745780875473.

2745780875472 is nontrivially palindromic in base 10.

2745780875472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×27457808754722 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2745780875473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205762279 + ... + 205775622.

It is an arithmetic number, because the mean of its divisors is an integer number (178607449468).

Almost surely, 22745780875472 is an apocalyptic number.

It is an amenable number.

2745780875472 is an abundant number, since it is smaller than the sum of its proper divisors (4398517103248).

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

2745780875472 is a wasteful number, since it uses less digits than its factorization.

2745780875472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411538051 (or 411538045 counting only the distinct ones).

The product of its (nonzero) digits is 245862400, while the sum is 66.

The spelling of 2745780875472 in words is "two trillion, seven hundred forty-five billion, seven hundred eighty million, eight hundred seventy-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 139 278 417 556 834 1112 1668 2224 3336 6672 411537901 823075802 1234613703 1646151604 2469227406 3292303208 4938454812 6584606416 9876909624 19753819248 57203768239 114407536478 171611304717 228815072956 343222609434 457630145912 686445218868 915260291824 1372890437736 2745780875472