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112781383680 = 2113571730851
BaseRepresentation
bin110100100001001001…
…0110101100000000000
3101210002221001220111110
41221002102311200000
53321434013234210
6123451104243320
711101553641530
oct1510222654000
9353087056443
10112781383680
1143915172909
1219a36310540
13a834809774
14565c75d4c0
152e013a6420
hex1a424b5800

112781383680 has 384 divisors, whose sum is σ = 436627376640. Its totient is φ = 24261427200.

The previous prime is 112781383639. The next prime is 112781383691. The reversal of 112781383680 is 86383187211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3640255 + ... + 3671105.

It is an arithmetic number, because the mean of its divisors is an integer number (1137050460).

Almost surely, 2112781383680 is an apocalyptic number.

112781383680 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 112781383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218313688320).

112781383680 is an abundant number, since it is smaller than the sum of its proper divisors (323845992960).

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

112781383680 is a wasteful number, since it uses less digits than its factorization.

112781383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30905 (or 30885 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 112781383680 in words is "one hundred twelve billion, seven hundred eighty-one million, three hundred eighty-three thousand, six hundred eighty".