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42268286224 = 2431313272263
BaseRepresentation
bin100111010111011000…
…101101110100010000
311001002202020102020101
4213113120231310100
51143031140124344
631230124022144
73024306335113
oct472730556420
9131082212211
1042268286224
1116a2038905a
128237691954
133ca7ca2668
14208d94257a
151175be19d4
hex9d762dd10

42268286224 has 40 divisors (see below), whose sum is σ = 84806968832. Its totient is φ = 20386978560.

The previous prime is 42268286213. The next prime is 42268286239.

42268286224 is nontrivially palindromic in base 10.

42268286224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19117 + ... + 291379.

Almost surely, 242268286224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42268286224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42403484416).

42268286224 is an abundant number, since it is smaller than the sum of its proper divisors (42538682608).

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

42268286224 is a wasteful number, since it uses less digits than its factorization.

42268286224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272615 (or 272609 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 46.

The spelling of 42268286224 in words is "forty-two billion, two hundred sixty-eight million, two hundred eighty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 124 248 313 496 626 1252 2504 5008 9703 19406 38812 77624 155248 272263 544526 1089052 2178104 4356208 8440153 16880306 33760612 67521224 85218319 135042448 170436638 340873276 681746552 1363493104 2641767889 5283535778 10567071556 21134143112 42268286224