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20443370112 = 2733112193183
BaseRepresentation
bin10011000010100001…
…010001001010000000
31221202201210210201000
4103002201101022000
5313332000320422
613220324212000
71322414531064
oct230241211200
957681723630
1020443370112
118740827600
123b6653a000
131c0a4c2a09
14dbd139aa4
157e9b49cac
hex4c2851280

20443370112 has 768 divisors, whose sum is σ = 72930816000. Its totient is φ = 5611161600.

The previous prime is 20443370083. The next prime is 20443370119. The reversal of 20443370112 is 21107334402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20443370119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246305623 + ... + 246305705.

It is an arithmetic number, because the mean of its divisors is an integer number (94962000).

Almost surely, 220443370112 is an apocalyptic number.

20443370112 is a gapful number since it is divisible by the number (22) 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 20443370112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36465408000).

20443370112 is an abundant number, since it is smaller than the sum of its proper divisors (52487445888).

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

20443370112 is a wasteful number, since it uses less digits than its factorization.

20443370112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 20443370112 in words is "twenty billion, four hundred forty-three million, three hundred seventy thousand, one hundred twelve".