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1361583733716 = 223237821770381
BaseRepresentation
bin10011110100000100101…
…101101111101111010100
311211011111010000021012200
4103310010231233233110
5134302010413434331
62521300344444500
7200241212530503
oct23640455575724
94734433007180
101361583733716
11485498580898
1219ba73779730
139b5209b356b
1449c884da83a
15256407125e6
hex13d04b6fbd4

1361583733716 has 18 divisors (see below), whose sum is σ = 3441781104762. Its totient is φ = 453861244560.

The previous prime is 1361583733709. The next prime is 1361583733717. The reversal of 1361583733716 is 6173373851631.

1361583733716 is a `hidden beast` number, since 1 + 3 + 615 + 8 + 3 + 7 + 3 + 3 + 7 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1295840722500 + 65743011216 = 1138350^2 + 256404^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361583733717) 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, 18910885155 + ... + 18910885226.

Almost surely, 21361583733716 is an apocalyptic number.

It is an amenable number.

1361583733716 is an abundant number, since it is smaller than the sum of its proper divisors (2080197371046).

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

1361583733716 is a wasteful number, since it uses less digits than its factorization.

1361583733716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37821770391 (or 37821770386 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 1361583733716 in words is "one trillion, three hundred sixty-one billion, five hundred eighty-three million, seven hundred thirty-three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37821770381 75643540762 113465311143 151287081524 226930622286 340395933429 453861244572 680791866858 1361583733716