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42266466224 = 2473137264139
BaseRepresentation
bin100111010111010001…
…110001011110110000
311001002121210221122222
4213113101301132300
51143030203404344
631230021020212
73024255015023
oct472721613660
9131077727588
1042266466224
1116a1a355724
128236b54668
133ca77b6138
14208d5cb1ba
1511759825ee
hex9d74717b0

42266466224 has 40 divisors (see below), whose sum is σ = 83619328080. Its totient is φ = 20691514368.

The previous prime is 42266466191. The next prime is 42266466227.

It is a happy number.

42266466224 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42266466227) 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 7 ways as a sum of consecutive naturals, for example, 27947 + ... + 292085.

It is an arithmetic number, because the mean of its divisors is an integer number (2090483202).

Almost surely, 242266466224 is an apocalyptic number.

It is an amenable number.

42266466224 is a deficient number, since it is larger than the sum of its proper divisors (41352861856).

42266466224 is a wasteful number, since it uses less digits than its factorization.

42266466224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264357 (or 264351 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The spelling of 42266466224 in words is "forty-two billion, two hundred sixty-six million, four hundred sixty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 73 137 146 274 292 548 584 1096 1168 2192 10001 20002 40004 80008 160016 264139 528278 1056556 2113112 4226224 19282147 36187043 38564294 72374086 77128588 144748172 154257176 289496344 308514352 578992688 2641654139 5283308278 10566616556 21133233112 42266466224