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42580225800000 = 263455737997
BaseRepresentation
bin10011010111001111110110…
…01110111011011101000000
312120202122000010222110220000
421223213323032323131000
521040113300301100000
6230321030301520000
711653214455344000
oct1153477316733500
9176678003873800
1042580225800000
11126271994442a9
1249383bb573000
131a9b3b4b00075
14a72c72d04000
154dc921a50000
hex26b9fb3bb740

42580225800000 has 3360 divisors, whose sum is σ = 188233702272000. Its totient is φ = 9510359040000.

The previous prime is 42580225799999. The next prime is 42580225800001. The reversal of 42580225800000 is 852208524.

42580225800000 is a `hidden beast` number, since 4 + 2 + 58 + 0 + 22 + 580 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42580225799999) and next prime (42580225800001).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42580225800001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 438971399952 + ... + 438971400048.

It is an arithmetic number, because the mean of its divisors is an integer number (56021935200).

Almost surely, 242580225800000 is an apocalyptic number.

42580225800000 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 42580225800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94116851136000).

42580225800000 is an abundant number, since it is smaller than the sum of its proper divisors (145653476472000).

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

42580225800000 is an frugal number, since it uses more digits than its factorization.

42580225800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 42580225800000 in words is "forty-two trillion, five hundred eighty billion, two hundred twenty-five million, eight hundred thousand".