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242427214758064 = 24722092211477951
BaseRepresentation
bin110111000111110001111100…
…000001010000000010110000
31011210100211000102100020120011
4313013301330001100002300
5223233411413434224224
62215333305221424304
7102030534243405400
oct6707617401200260
91153324012306504
10242427214758064
1170276893737096
122323402786b094
13a536a32a6037b
1443c177b2d8800
151d0614c9d9394
hexdc7c7c0500b0

242427214758064 has 60 divisors (see below), whose sum is σ = 546391869598848. Its totient is φ = 103896810864000.

The previous prime is 242427214758031. The next prime is 242427214758073. The reversal of 242427214758064 is 460857412724242.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163290289 + ... + 164768239.

Almost surely, 2242427214758064 is an apocalyptic number.

It is an amenable number.

242427214758064 is an abundant number, since it is smaller than the sum of its proper divisors (303964654840784).

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

242427214758064 is a wasteful number, since it uses less digits than its factorization.

242427214758064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687194 (or 1687181 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 58.

The spelling of 242427214758064 in words is "two hundred forty-two trillion, four hundred twenty-seven billion, two hundred fourteen million, seven hundred fifty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 209221 418442 836884 1464547 1477951 1673768 2929094 2955902 3347536 5858188 5911804 10251829 10345657 11716376 11823608 20503658 20691314 23432752 23647216 41007316 41382628 72419599 82014632 82765256 144839198 164029264 165530512 289678396 579356792 1158713584 309218386171 618436772342 1236873544684 2164528703197 2473747089368 4329057406394 4947494178736 8658114812788 15151700922379 17316229625576 30303401844758 34632459251152 60606803689516 121213607379032 242427214758064