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2745368635472 = 241735931672553
BaseRepresentation
bin100111111100110100101…
…110001110100001010000
3100201110021110102201120022
4213330310232032201100
5324440003332313342
65501112133403012
7402226536240611
oct47746456164120
910643243381508
102745368635472
11969339028841
123840a2499468
1316bb6c0c1938
1496c3b381c08
154b63003d9d2
hex27f34b8e850

2745368635472 has 40 divisors (see below), whose sum is σ = 5358923227944. Its totient is φ = 1362447478784.

The previous prime is 2745368635447. The next prime is 2745368635483.

2745368635472 is nontrivially palindromic in base 10.

2745368635472 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 729411651136 + 2015956984336 = 854056^2 + 1419844^2 .

It is a super-3 number, since 3×27453686354723 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 805148 + ... + 2477700.

Almost surely, 22745368635472 is an apocalyptic number.

It is an amenable number.

2745368635472 is a deficient number, since it is larger than the sum of its proper divisors (2613554592472).

2745368635472 is a wasteful number, since it uses less digits than its factorization.

2745368635472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673327 (or 1673321 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 62.

The spelling of 2745368635472 in words is "two trillion, seven hundred forty-five billion, three hundred sixty-eight million, six hundred thirty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 173 346 593 692 1186 1384 2372 2768 4744 9488 102589 205178 410356 820712 1641424 1672553 3345106 6690212 13380424 26760848 289351669 578703338 991823929 1157406676 1983647858 2314813352 3967295716 4629626704 7934591432 15869182864 171585539717 343171079434 686342158868 1372684317736 2745368635472