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242477747459809 = 1928195632
BaseRepresentation
bin110111001000100001000000…
…000000001101011011100001
31011210112122110010112110121021
4313020201000000031123201
5223240223411322203214
62215412423412525441
7102034303424315431
oct6710410000153341
91153478403473537
10242477747459809
1170296265071914
122324198b020881
13a53b726c94b14
1443c3db26942c1
151d07609006924
hexdc884000d6e1

242477747459809 has 9 divisors (see below), whose sum is σ = 255911729933073. Its totient is φ = 229715480460852.

The previous prime is 242477747459791. The next prime is 242477747459869. The reversal of 242477747459809 is 908954747774242.

The square root of 242477747459809 is 15571697.

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

It is not a de Polignac number, because 242477747459809 - 211 = 242477747457761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242477747459869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 295452462 + ... + 296272024.

Almost surely, 2242477747459809 is an apocalyptic number.

242477747459809 is the 15571697-th square number.

242477747459809 is the 7785849-th centered octagonal number.

It is an amenable number.

242477747459809 is a deficient number, since it is larger than the sum of its proper divisors (13433982473264).

242477747459809 is an frugal number, since it uses more digits than its factorization.

242477747459809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639164 (or 819582 counting only the distinct ones).

The product of its (nonzero) digits is 7965941760, while the sum is 79.

The spelling of 242477747459809 in words is "two hundred forty-two trillion, four hundred seventy-seven billion, seven hundred forty-seven million, four hundred fifty-nine thousand, eight hundred nine".

Divisors: 1 19 361 819563 15571697 295862243 671683510969 12761986708411 242477747459809