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42433069536 = 25341113239479
BaseRepresentation
bin100111100001001101…
…010100000111100000
311001112020022021110000
4213201031110013200
51143400331211121
631254331540000
73031350065664
oct474115240740
9131466267400
1042433069536
1116aa53a8210
1282828ba600
134003179390
1420a77988a4
1511853e1526
hex9e13541e0

42433069536 has 480 divisors, whose sum is σ = 147532492800. Its totient is φ = 11795051520.

The previous prime is 42433069507. The next prime is 42433069537. The reversal of 42433069536 is 63596033424.

42433069536 is a `hidden beast` number, since 4 + 24 + 3 + 30 + 69 + 536 = 666.

It is a super-2 number, since 2×424330695362 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42433069491 and 42433069500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433069537) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88586545 + ... + 88587023.

It is an arithmetic number, because the mean of its divisors is an integer number (307359360).

Almost surely, 242433069536 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 42433069536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73766246400).

42433069536 is an abundant number, since it is smaller than the sum of its proper divisors (105099423264).

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

42433069536 is a wasteful number, since it uses less digits than its factorization.

42433069536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 42433069536 in words is "forty-two billion, four hundred thirty-three million, sixty-nine thousand, five hundred thirty-six".