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427660601553 = 36586640057
BaseRepresentation
bin1100011100100101000…
…11101110100011010001
31111212212101212112000000
412032102203232203101
524001322103222203
6524244202520213
742616554064143
oct6162243564321
91455771775000
10427660601553
11155408295789
126aa72806069
13314361454b3
14169ada44c93
15b1cee6c4a3
hex63928ee8d1

427660601553 has 14 divisors (see below), whose sum is σ = 641197583394. Its totient is φ = 285107067216.

The previous prime is 427660601549. The next prime is 427660601561. The reversal of 427660601553 is 355106066724.

427660601553 is a `hidden beast` number, since 4 + 27 + 6 + 606 + 0 + 15 + 5 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 361257496209 + 66403105344 = 601047^2 + 257688^2 .

It is not a de Polignac number, because 427660601553 - 22 = 427660601549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 427660601499 and 427660601508.

It is not an unprimeable number, because it can be changed into a prime (427660601453) 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 13 ways as a sum of consecutive naturals, for example, 293319300 + ... + 293320757.

Almost surely, 2427660601553 is an apocalyptic number.

It is an amenable number.

427660601553 is a deficient number, since it is larger than the sum of its proper divisors (213536981841).

427660601553 is an frugal number, since it uses more digits than its factorization.

427660601553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586640075 (or 586640060 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 427660601553 in words is "four hundred twenty-seven billion, six hundred sixty million, six hundred one thousand, five hundred fifty-three".

Divisors: 1 3 9 27 81 243 729 586640057 1759920171 5279760513 15839281539 47517844617 142553533851 427660601553