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242760032482248 = 23323371667117809
BaseRepresentation
bin110111001100100111111001…
…100000000111001111001000
31011211112122002001121101121100
4313030213321200013033020
5223304340021303412443
62220150230324341400
7102063555624365151
oct6714477140071710
91154478061541540
10242760032482248
1170394a51660296
122328862b844860
13a55c232948888
1443d3910ba0928
151d0eb2b35d3d3
hexdcc9f98073c8

242760032482248 has 24 divisors (see below), whose sum is σ = 657475087972950. Its totient is φ = 80920010827392.

The previous prime is 242760032482243. The next prime is 242760032482313. The reversal of 242760032482248 is 842284230067242.

242760032482248 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 600 + 3 + 2 + 4 + 8 + 2 + 24 + 8 = 666.

242760032482248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 241999651970244 + 760380512004 = 15556338^2 + 871998^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 242760032482194 and 242760032482203.

It is not an unprimeable number, because it can be changed into a prime (242760032482243) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1685833558833 + ... + 1685833558976.

Almost surely, 2242760032482248 is an apocalyptic number.

It is an amenable number.

242760032482248 is an abundant number, since it is smaller than the sum of its proper divisors (414715055490702).

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

242760032482248 is a wasteful number, since it uses less digits than its factorization.

242760032482248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371667117821 (or 3371667117814 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 54.

The spelling of 242760032482248 in words is "two hundred forty-two trillion, seven hundred sixty billion, thirty-two million, four hundred eighty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3371667117809 6743334235618 10115001353427 13486668471236 20230002706854 26973336942472 30345004060281 40460005413708 60690008120562 80920010827416 121380016241124 242760032482248