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427748816961 = 3247527646329
BaseRepresentation
bin1100011100101111101…
…00001111100001000001
31111220002112212022210100
412032113310033201001
524002012144120321
6524301033353013
742622004645004
oct6162764174101
91456075768710
10427748816961
11155453068284
126aa98268769
133144b4c106b
14169bb64953b
15b1d7a95326
hex6397d0f841

427748816961 has 6 divisors (see below), whose sum is σ = 617859402290. Its totient is φ = 285165877968.

The previous prime is 427748816959. The next prime is 427748816983. The reversal of 427748816961 is 169618847724.

427748816961 is a `hidden beast` number, since 427 + 7 + 48 + 8 + 169 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 427578671025 + 170145936 = 653895^2 + 13044^2 .

It is not a de Polignac number, because 427748816961 - 21 = 427748816959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (427748816161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23763823156 + ... + 23763823173.

Almost surely, 2427748816961 is an apocalyptic number.

It is an amenable number.

427748816961 is a deficient number, since it is larger than the sum of its proper divisors (190110585329).

427748816961 is a wasteful number, since it uses less digits than its factorization.

427748816961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47527646335 (or 47527646332 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 427748816961 in words is "four hundred twenty-seven billion, seven hundred forty-eight million, eight hundred sixteen thousand, nine hundred sixty-one".

Divisors: 1 3 9 47527646329 142582938987 427748816961