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242505450020 = 22576115933341
BaseRepresentation
bin1110000111011001110…
…0111000001000100100
3212011221121210021022002
43201312130320020210
512433122343400040
6303223325224432
723343340212551
oct3416634701044
9764847707262
10242505450020
1193934005999
123abba702118
1319b3948b732
14ba4731ba28
156494db1a15
hex3876738224

242505450020 has 24 divisors (see below), whose sum is σ = 509930677368. Its totient is φ = 96874707200.

The previous prime is 242505449951. The next prime is 242505450053. The reversal of 242505450020 is 20054505242.

It can be written as a sum of positive squares in 4 ways, for example, as 417316 + 242505032704 = 646^2 + 492448^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7951451 + ... + 7981890.

It is an arithmetic number, because the mean of its divisors is an integer number (21247111557).

Almost surely, 2242505450020 is an apocalyptic number.

242505450020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242505450020 is an abundant number, since it is smaller than the sum of its proper divisors (267425227348).

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

242505450020 is a wasteful number, since it uses less digits than its factorization.

242505450020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15934111 (or 15934109 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 29.

Adding to 242505450020 its reverse (20054505242), we get a palindrome (262559955262).

The spelling of 242505450020 in words is "two hundred forty-two billion, five hundred five million, four hundred fifty thousand, twenty".

Divisors: 1 2 4 5 10 20 761 1522 3044 3805 7610 15220 15933341 31866682 63733364 79666705 159333410 318666820 12125272501 24250545002 48501090004 60626362505 121252725010 242505450020