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42268080384 = 283231591791
BaseRepresentation
bin100111010111010111…
…111011100100000000
311001002201211221212200
4213113113323210000
51143031112033014
631230115353200
73024304520025
oct472727734400
9131081757780
1042268080384
1116a20258442
1282375b2800
133ca7c2ca6a
14208d8cb54c
151175ba0a09
hex9d75fb900

42268080384 has 108 divisors (see below), whose sum is σ = 125800776192. Its totient is φ = 13634841600.

The previous prime is 42268080383. The next prime is 42268080389. The reversal of 42268080384 is 48308086224.

42268080384 is a `hidden beast` number, since 4 + 2 + 268 + 0 + 8 + 0 + 384 = 666.

It is not an unprimeable number, because it can be changed into a prime (42268080383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224472 + ... + 367319.

Almost surely, 242268080384 is an apocalyptic number.

It is an amenable number.

42268080384 is an abundant number, since it is smaller than the sum of its proper divisors (83532695808).

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

42268080384 is a wasteful number, since it uses less digits than its factorization.

42268080384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591844 (or 591827 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 42268080384 in words is "forty-two billion, two hundred sixty-eight million, eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 744 768 992 1116 1152 1488 1984 2232 2304 2976 3968 4464 5952 7936 8928 11904 17856 23808 35712 71424 591791 1183582 1775373 2367164 3550746 4734328 5326119 7101492 9468656 10652238 14202984 18345521 18937312 21304476 28405968 36691042 37874624 42608952 55036563 56811936 73382084 75749248 85217904 110073126 113623872 146764168 151498496 165109689 170435808 220146252 227247744 293528336 330219378 340871616 440292504 454495488 587056672 660438756 681743232 880585008 1174113344 1320877512 1363486464 1761170016 2348226688 2641755024 3522340032 4696453376 5283510048 7044680064 10567020096 14089360128 21134040192 42268080384