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42898286592 = 211327503661
BaseRepresentation
bin100111111100111011…
…111110100000000000
311002201122200202021100
4213330323332200000
51200323430132332
631412431054400
73046026263640
oct477473764000
9132648622240
1042898286592
1117213a67717
128392671400
134078673445
14210d498520
1511b118867c
hex9fcefe800

42898286592 has 288 divisors, whose sum is σ = 142094010240. Its totient is φ = 12213780480.

The previous prime is 42898286579. The next prime is 42898286597. The reversal of 42898286592 is 29568289824.

42898286592 is a `hidden beast` number, since 428 + 9 + 82 + 86 + 59 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (42898286597) 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, 64898742 + ... + 64899402.

It is an arithmetic number, because the mean of its divisors is an integer number (493381980).

Almost surely, 242898286592 is an apocalyptic number.

42898286592 is a gapful number since it is divisible by the number (42) 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 42898286592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71047005120).

42898286592 is an abundant number, since it is smaller than the sum of its proper divisors (99195723648).

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

42898286592 is a wasteful number, since it uses less digits than its factorization.

42898286592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1176 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 42898286592 in words is "forty-two billion, eight hundred ninety-eight million, two hundred eighty-six thousand, five hundred ninety-two".