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1663746112 = 26713128349
BaseRepresentation
bin110001100101010…
…1100000001000000
311021221122001121101
41203022230001000
511401404333422
6433031504144
756141415520
oct14312540100
94257561541
101663746112
11784161096
123a5228054
132068c4b72
1411ad69680
159b0e1c27
hex632ac040

1663746112 has 56 divisors (see below), whose sum is σ = 3802075200. Its totient is φ = 707566080.

The previous prime is 1663746079. The next prime is 1663746127. The reversal of 1663746112 is 2116473661.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×16637461122 = 5536102250390233088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44514 + ... + 72862.

It is an arithmetic number, because the mean of its divisors is an integer number (67894200).

Almost surely, 21663746112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1663746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901037600).

1663746112 is an abundant number, since it is smaller than the sum of its proper divisors (2138329088).

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

1663746112 is a wasteful number, since it uses less digits than its factorization.

1663746112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28499 (or 28489 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 1663746112 is about 40789.0440191971. The cubic root of 1663746112 is about 1184.9381564929.

The spelling of 1663746112 in words is "one billion, six hundred sixty-three million, seven hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 131 224 262 448 524 917 1048 1834 2096 3668 4192 7336 8384 14672 28349 29344 56698 58688 113396 198443 226792 396886 453584 793772 907168 1587544 1814336 3175088 3713719 6350176 7427438 12700352 14854876 25996033 29709752 51992066 59419504 103984132 118839008 207968264 237678016 415936528 831873056 1663746112