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42235506160848 = 2432711133125137657
BaseRepresentation
bin10011001101001101110000…
…10101110111010011010000
312112112200020001011101212100
421212212320111313103100
521013441304034121343
6225454420151400400
711616262133635530
oct1146467025672320
9175480201141770
1042235506160848
1112503a83172240
1248a1635683100
131a74a391a3020
14a602d08734c0
154d39983829d3
hex2669b85774d0

42235506160848 has 960 divisors, whose sum is σ = 164479616630784. Its totient is φ = 9760435200000.

The previous prime is 42235506160829. The next prime is 42235506160849. The reversal of 42235506160848 is 84806160553224.

42235506160848 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 550 + 6 + 1 + 6 + 0 + 84 + 8 = 666.

42235506160848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42235506160794 and 42235506160803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42235506160849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1121565636 + ... + 1121603292.

Almost surely, 242235506160848 is an apocalyptic number.

42235506160848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42235506160848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82239808315392).

42235506160848 is an abundant number, since it is smaller than the sum of its proper divisors (122244110469936).

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

42235506160848 is a wasteful number, since it uses less digits than its factorization.

42235506160848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37984 (or 37975 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 42235506160848 in words is "forty-two trillion, two hundred thirty-five billion, five hundred six million, one hundred sixty thousand, eight hundred forty-eight".