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242604561664 = 281078856767
BaseRepresentation
bin1110000111110001011…
…0111101010100000000
3212012012112021122220201
43201330112331110000
512433323231433124
6303241225414544
723345652515023
oct3417426752400
9765175248821
10242604561664
1193984a4aa43
123b02793a454
1319b53b80a8a
14ba5655b1ba
15649d93d144
hex387c5bd500

242604561664 has 36 divisors (see below), whose sum is σ = 488787312384. Its totient is φ = 120168601088.

The previous prime is 242604561643. The next prime is 242604561691. The reversal of 242604561664 is 466165406242.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4400992 + ... + 4455775.

It is an arithmetic number, because the mean of its divisors is an integer number (13577425344).

Almost surely, 2242604561664 is an apocalyptic number.

It is an amenable number.

242604561664 is an abundant number, since it is smaller than the sum of its proper divisors (246182750720).

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

242604561664 is an equidigital number, since it uses as much as digits as its factorization.

242604561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8856890 (or 8856876 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 242604561664 in words is "two hundred forty-two billion, six hundred four million, five hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 856 1712 3424 6848 13696 27392 8856767 17713534 35427068 70854136 141708272 283416544 566833088 947674069 1133666176 1895348138 2267332352 3790696276 7581392552 15162785104 30325570208 60651140416 121302280832 242604561664