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242252546048 = 21527192
BaseRepresentation
bin1110000110011101100…
…0001000000000000000
3212011021222220102021022
43201213120020000000
512432113122433143
6303142252445012
723334146444312
oct3414730100000
9764258812238
10242252546048
1193814279447
123ab49a79768
1319ac8c70306
14ba218c77b2
15647caa7268
hex3867608000

242252546048 has 48 divisors (see below), whose sum is σ = 484675954335. Its totient is φ = 121081724928.

The previous prime is 242252546021. The next prime is 242252546071. The reversal of 242252546048 is 840645252242.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 121126273024 + 121126273024 = 348032^2 + 348032^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=348032.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 89094833 + ... + 89097551.

Almost surely, 2242252546048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242252546048

242252546048 is an abundant number, since it is smaller than the sum of its proper divisors (242423408287).

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

242252546048 is an frugal number, since it uses more digits than its factorization.

242252546048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 44.

The spelling of 242252546048 in words is "two hundred forty-two billion, two hundred fifty-two million, five hundred forty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2719 4096 5438 8192 10876 16384 21752 32768 43504 87008 174016 348032 696064 1392128 2784256 5568512 7392961 11137024 14785922 22274048 29571844 44548096 59143688 89096192 118287376 236574752 473149504 946299008 1892598016 3785196032 7570392064 15140784128 30281568256 60563136512 121126273024 242252546048