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42489382320 = 243257112192193
BaseRepresentation
bin100111100100100100…
…001000010110110000
311001200011021021001200
4213210210020112300
51144004240213240
631304102531200
73032632535130
oct474444102660
9131604237050
1042489382320
111702416a900
128299736b00
134011a34c58
1420b1056ac0
15118a316930
hex9e49085b0

42489382320 has 1080 divisors, whose sum is σ = 190162391328. Its totient is φ = 8320942080.

The previous prime is 42489382303. The next prime is 42489382321. The reversal of 42489382320 is 2328398424.

42489382320 is a `hidden beast` number, since 4 + 248 + 9 + 3 + 82 + 320 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42489382321) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 220152144 + ... + 220152336.

Almost surely, 242489382320 is an apocalyptic number.

42489382320 is a gapful number since it is divisible by the number (40) 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 42489382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95081195664).

42489382320 is an abundant number, since it is smaller than the sum of its proper divisors (147673009008).

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

42489382320 is a wasteful number, since it uses less digits than its factorization.

42489382320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 42489382320 in words is "forty-two billion, four hundred eighty-nine million, three hundred eighty-two thousand, three hundred twenty".