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42322564350 = 232521153353457
BaseRepresentation
bin100111011010100111…
…110001010011111110
311001020112101000211100
4213122213301103332
51143134034024400
631235343233530
73025535601303
oct473247612376
9131215330740
1042322564350
1116a48a91010
1282518a88a6
133cb62c80b1
142096c310aa
15117a864100
hex9da9f14fe

42322564350 has 288 divisors, whose sum is σ = 127019397024. Its totient is φ = 10015948800.

The previous prime is 42322564337. The next prime is 42322564373. The reversal of 42322564350 is 5346522324.

42322564350 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 2 + 5 + 643 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92609322 + ... + 92609778.

It is an arithmetic number, because the mean of its divisors is an integer number (441039573).

Almost surely, 242322564350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42322564350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63509698512).

42322564350 is an abundant number, since it is smaller than the sum of its proper divisors (84696832674).

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

42322564350 is a wasteful number, since it uses less digits than its factorization.

42322564350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 42322564350 in words is "forty-two billion, three hundred twenty-two million, five hundred sixty-four thousand, three hundred fifty".