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42089608260 = 223357193747337
BaseRepresentation
bin100111001100101111…
…000111010001000100
311000122022000122011000
4213030233013101010
51142144414431020
631200302213300
73020006524110
oct471457072104
9130568018130
1042089608260
1116939539717
1281a7884230
133c79c7245b
142073d10740
15116519a090
hex9ccbc7444

42089608260 has 768 divisors, whose sum is σ = 165718425600. Its totient is φ = 8653381632.

The previous prime is 42089608259. The next prime is 42089608277. The reversal of 42089608260 is 6280698024.

42089608260 is a `hidden beast` number, since 420 + 8 + 96 + 0 + 82 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 124894812 + ... + 124895148.

It is an arithmetic number, because the mean of its divisors is an integer number (215779200).

Almost surely, 242089608260 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 42089608260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82859212800).

42089608260 is an abundant number, since it is smaller than the sum of its proper divisors (123628817340).

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

42089608260 is a wasteful number, since it uses less digits than its factorization.

42089608260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 42089608260 in words is "forty-two billion, eighty-nine million, six hundred eight thousand, two hundred sixty".