Search a number
-
+
2760512467441 = 16614792
BaseRepresentation
bin101000001010111011010…
…111010111000111110001
3100202220100212020002121211
4220022323113113013301
5330212012142424231
65512054550320121
7403304033550331
oct50127327270761
910686325202554
102760512467441
119747aa359953
1238700a059041
1317041368a261
14978767270c1
154bc197b4eb1
hex282bb5d71f1

2760512467441 has 3 divisors (see below), whose sum is σ = 2760514128921. Its totient is φ = 2760510805962.

The previous prime is 2760512467429. The next prime is 2760512467481. The reversal of 2760512467441 is 1447642150672.

The square root of 2760512467441 is 1661479.

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

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.

It is not a de Polignac number, because 2760512467441 - 213 = 2760512459249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2760512467411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 830740 + ... + 2492218.

It is an arithmetic number, because the mean of its divisors is an integer number (920171376307).

Almost surely, 22760512467441 is an apocalyptic number.

2760512467441 is the 1661479-th square number.

2760512467441 is the 830740-th centered octagonal number.

It is an amenable number.

2760512467441 is a deficient number, since it is larger than the sum of its proper divisors (1661480).

2760512467441 is an frugal number, since it uses more digits than its factorization.

2760512467441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322958 (or 1661479 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

Multiplying 2760512467441 by its sum of digits (49), we get a square (135265110904609 = 116303532).

The spelling of 2760512467441 in words is "two trillion, seven hundred sixty billion, five hundred twelve million, four hundred sixty-seven thousand, four hundred forty-one".

Divisors: 1 1661479 2760512467441