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42836975280 = 24335116771379
BaseRepresentation
bin100111111001010010…
…000101111010110000
311002120101022210222000
4213321102011322300
51200212231202110
631402401014000
73044353165521
oct477122057260
9132511283860
1042836975280
11171923a0610
128376024300
134068a57668
142105298848
1511aaac71c0
hex9f9485eb0

42836975280 has 640 divisors, whose sum is σ = 166103654400. Its totient is φ = 10059033600.

The previous prime is 42836975273. The next prime is 42836975323. The reversal of 42836975280 is 8257963824.

42836975280 is a `hidden beast` number, since 4 + 28 + 3 + 6 + 97 + 528 + 0 = 666.

42836975280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×428369752802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113026131 + ... + 113026509.

It is an arithmetic number, because the mean of its divisors is an integer number (259536960).

Almost surely, 242836975280 is an apocalyptic number.

42836975280 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 42836975280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83051827200).

42836975280 is an abundant number, since it is smaller than the sum of its proper divisors (123266679120).

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

42836975280 is a wasteful number, since it uses less digits than its factorization.

42836975280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 42836975280 in words is "forty-two billion, eight hundred thirty-six million, nine hundred seventy-five thousand, two hundred eighty".