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42338192064 = 263724500233
BaseRepresentation
bin100111011011100011…
…011000101011000000
311001021121210000000120
4213123203120223000
51143202034121224
631241102220240
73026115460200
oct473343305300
9131247700016
1042338192064
1116a56895383
128256b84680
133cb960a36c
142098d3c400
15117bdee779
hex9db8d8ac0

42338192064 has 84 divisors (see below), whose sum is σ = 130308775704. Its totient is φ = 12096623616.

The previous prime is 42338192063. The next prime is 42338192137. The reversal of 42338192064 is 46029183324.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (42338192063) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2240709 + ... + 2259524.

Almost surely, 242338192064 is an apocalyptic number.

It is an amenable number.

42338192064 is an abundant number, since it is smaller than the sum of its proper divisors (87970583640).

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

42338192064 is a wasteful number, since it uses less digits than its factorization.

42338192064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500262 (or 4500245 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 42338192064 in words is "forty-two billion, three hundred thirty-eight million, one hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 4500233 9000466 13500699 18000932 27001398 31501631 36001864 54002796 63003262 72003728 94504893 108005592 126006524 144007456 189009786 216011184 220511417 252013048 288014912 378019572 432022368 441022834 504026096 661534251 756039144 864044736 882045668 1008052192 1323068502 1512078288 1764091336 2016104384 2646137004 3024156576 3528182672 5292274008 6048313152 7056365344 10584548016 14112730688 21169096032 42338192064