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242646268059 = 35131094871447
BaseRepresentation
bin1110000111111011011…
…0000011100010011011
3212012022102202120100000
43201332312003202123
512433414421034214
6303245315344043
723350000151016
oct3417666034233
9765272676300
10242646268059
11939a6546638
123b0398b2023
1319b5c6c4210
14ba5bcd637d
1564a242a809
hex387ed8389b

242646268059 has 96 divisors (see below), whose sum is σ = 396105149440. Its totient is φ = 147545027712.

The previous prime is 242646268027. The next prime is 242646268061. The reversal of 242646268059 is 950862646242.

242646268059 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 4 + 626 + 8 + 0 + 5 + 9 = 666.

It is not a de Polignac number, because 242646268059 - 25 = 242646268027 is a prime.

It is a super-2 number, since 2×2426462680592 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242646267996 and 242646268014.

It is not an unprimeable number, because it can be changed into a prime (242646268859) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167688474 + ... + 167689920.

Almost surely, 2242646268059 is an apocalyptic number.

242646268059 is a deficient number, since it is larger than the sum of its proper divisors (153458881381).

242646268059 is a wasteful number, since it uses less digits than its factorization.

242646268059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 242646268059 in words is "two hundred forty-two billion, six hundred forty-six million, two hundred sixty-eight thousand, fifty-nine".

Divisors: 1 3 9 13 27 39 81 109 117 243 327 351 487 981 1053 1417 1447 1461 2943 3159 4251 4341 4383 6331 8829 12753 13023 13149 18811 18993 26487 38259 39069 39447 53083 56433 56979 114777 117207 118341 157723 159249 169299 170937 344331 351621 473169 477747 507897 512811 690079 704689 1419507 1433241 1523691 1538433 2050399 2070237 2114067 4258521 4299723 4571073 6151197 6210711 6342201 9160957 12775563 12899169 18453591 18632133 19026603 27482871 38326689 55360773 55896399 57079809 76811101 82448613 166082319 167689197 171239427 230433303 247345839 498246957 691299909 742037517 998544313 2073899727 2226112551 2995632939 6221699181 8986898817 18665097543 26960696451 80882089353 242646268059