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42535433120 = 255265846457
BaseRepresentation
bin100111100111010011…
…110011001110100000
311001210100220212212212
4213213103303032200
51144103032324440
631312425541252
73034032134045
oct474723631640
9131710825785
1042535433120
1117048163514
1282b1044828
13401b43994b
1420b72031cc
15118e3b1465
hex9e74f33a0

42535433120 has 24 divisors (see below), whose sum is σ = 100489961124. Its totient is φ = 17014173184.

The previous prime is 42535433113. The next prime is 42535433141. The reversal of 42535433120 is 2133453524.

It can be written as a sum of positive squares in 2 ways, for example, as 37253632144 + 5281800976 = 193012^2 + 72676^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 132923069 + ... + 132923388.

Almost surely, 242535433120 is an apocalyptic number.

42535433120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42535433120 is an abundant number, since it is smaller than the sum of its proper divisors (57954528004).

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

42535433120 is a wasteful number, since it uses less digits than its factorization.

42535433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265846472 (or 265846464 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 42535433120 its reverse (2133453524), we get a palindrome (44668886644).

The spelling of 42535433120 in words is "forty-two billion, five hundred thirty-five million, four hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 265846457 531692914 1063385828 1329232285 2126771656 2658464570 4253543312 5316929140 8507086624 10633858280 21267716560 42535433120