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112787743068 = 22327112132389139
BaseRepresentation
bin110100100001010101…
…1000110000101011100
3101210010101000222221100
41221002223012011130
53321442130234233
6123451452433100
711101661666160
oct1510253060534
9353111028840
10112787743068
1143918816800
1219a38478790
13a835c25210
14565d536ca0
152e01c10813
hex1a42ac615c

112787743068 has 864 divisors, whose sum is σ = 409914086400. Its totient is φ = 25391646720.

The previous prime is 112787743063. The next prime is 112787743073. The reversal of 112787743068 is 860347787211.

112787743068 is a `hidden beast` number, since 1 + 12 + 78 + 77 + 430 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (112787743063) and next prime (112787743073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112787743063) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 811422543 + ... + 811422681.

It is an arithmetic number, because the mean of its divisors is an integer number (474437600).

Almost surely, 2112787743068 is an apocalyptic number.

112787743068 is a gapful number since it is divisible by the number (18) 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 112787743068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204957043200).

112787743068 is an abundant number, since it is smaller than the sum of its proper divisors (297126343332).

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

112787743068 is a wasteful number, since it uses less digits than its factorization.

112787743068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 112787743068 in words is "one hundred twelve billion, seven hundred eighty-seven million, seven hundred forty-three thousand, sixty-eight".