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2742523765461 = 32304724862829
BaseRepresentation
bin100111111010001011001…
…001111010001011010101
3100201011221012022100120100
4213322023021322023111
5324413142040443321
65455521550124313
7402066203242134
oct47721311721325
910634835270510
102742523765461
119681091938a7
123836297b0699
1316b8078b42bc
1496a4b5db91b
154b5153de326
hex27e8b27a2d5

2742523765461 has 6 divisors (see below), whose sum is σ = 3961423216790. Its totient is φ = 1828349176968.

The previous prime is 2742523765439. The next prime is 2742523765481. The reversal of 2742523765461 is 1645673252472.

2742523765461 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 5 + 23 + 76 + 546 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2735156976561 + 7366788900 = 1653831^2 + 85830^2 .

It is a de Polignac number, because none of the positive numbers 2k-2742523765461 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2742523765398 and 2742523765407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742523765481) 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 5 ways as a sum of consecutive naturals, for example, 152362431406 + ... + 152362431423.

Almost surely, 22742523765461 is an apocalyptic number.

It is an amenable number.

2742523765461 is a deficient number, since it is larger than the sum of its proper divisors (1218899451329).

2742523765461 is a wasteful number, since it uses less digits than its factorization.

2742523765461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304724862835 (or 304724862832 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 2742523765461 in words is "two trillion, seven hundred forty-two billion, five hundred twenty-three million, seven hundred sixty-five thousand, four hundred sixty-one".

Divisors: 1 3 9 304724862829 914174588487 2742523765461