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42527553152 = 2772431371151
BaseRepresentation
bin100111100110110101…
…101111011010000000
311001202211002112121012
4213212311233122000
51144044023200102
631311545020052
73033605144300
oct474665573200
9131684075535
1042527553152
1117043771147
1282aa484628
13401990b046
1420b6151600
15118d856752
hex9e6d6f680

42527553152 has 192 divisors, whose sum is σ = 101671511040. Its totient is φ = 17656934400.

The previous prime is 42527553137. The next prime is 42527553157. The reversal of 42527553152 is 25135572524.

It is not an unprimeable number, because it can be changed into a prime (42527553157) 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 23 ways as a sum of consecutive naturals, for example, 36947777 + ... + 36948927.

It is an arithmetic number, because the mean of its divisors is an integer number (529539120).

Almost surely, 242527553152 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 42527553152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50835755520).

42527553152 is an abundant number, since it is smaller than the sum of its proper divisors (59143957888).

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

42527553152 is a wasteful number, since it uses less digits than its factorization.

42527553152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1340 counting only the distinct ones).

The product of its digits is 420000, while the sum is 41.

The spelling of 42527553152 in words is "forty-two billion, five hundred twenty-seven million, five hundred fifty-three thousand, one hundred fifty-two".