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120845235840 = 2735761147401
BaseRepresentation
bin111000010001011101…
…1111111011010000000
3102112220220122001002120
41300202323333122000
53434442340021330
6131303204444240
711505441361560
oct1604273773200
9375826561076
10120845235840
1147282a9233a
121b5069a9680
13b51b348014
145bc56c8da0
1532242b5c10
hex1c22eff680

120845235840 has 256 divisors, whose sum is σ = 447441719040. Its totient is φ = 27168768000.

The previous prime is 120845235787. The next prime is 120845235853. The reversal of 120845235840 is 48532548021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 120845235792 and 120845235801.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 746140 + ... + 893540.

It is an arithmetic number, because the mean of its divisors is an integer number (1747819215).

Almost surely, 2120845235840 is an apocalyptic number.

120845235840 is a gapful number since it is divisible by the number (10) 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 120845235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223720859520).

120845235840 is an abundant number, since it is smaller than the sum of its proper divisors (326596483200).

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

120845235840 is a wasteful number, since it uses less digits than its factorization.

120845235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147491 (or 147479 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 120845235840 in words is "one hundred twenty billion, eight hundred forty-five million, two hundred thirty-five thousand, eight hundred forty".