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9963445872 = 2431979138289
BaseRepresentation
bin10010100011101111…
…00001111001110000
3221201100222111021210
421101313201321300
5130401120231442
64324355120120
7501621615102
oct112167417160
927640874253
109963445872
114253118396
121b208a3040
13c2a25c203
146a7369572
153d4a8c19c
hex251de1e70

9963445872 has 80 divisors (see below), whose sum is σ = 27436736000. Its totient is φ = 3106501632.

The previous prime is 9963445841. The next prime is 9963445873. The reversal of 9963445872 is 2785443699.

9963445872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9963445873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2904 + ... + 141192.

It is an arithmetic number, because the mean of its divisors is an integer number (342959200).

Almost surely, 29963445872 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 9963445872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13718368000).

9963445872 is an abundant number, since it is smaller than the sum of its proper divisors (17473290128).

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

9963445872 is a wasteful number, since it uses less digits than its factorization.

9963445872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138398 (or 138392 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The square root of 9963445872 is about 99817.0620284929. The cubic root of 9963445872 is about 2151.8063688451.

The spelling of 9963445872 in words is "nine billion, nine hundred sixty-three million, four hundred forty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 79 114 152 158 228 237 304 316 456 474 632 912 948 1264 1501 1896 3002 3792 4503 6004 9006 12008 18012 24016 36024 72048 138289 276578 414867 553156 829734 1106312 1659468 2212624 2627491 3318936 5254982 6637872 7882473 10509964 10924831 15764946 21019928 21849662 31529892 32774493 42039856 43699324 63059784 65548986 87398648 126119568 131097972 174797296 207571789 262195944 415143578 524391888 622715367 830287156 1245430734 1660574312 2490861468 3321148624 4981722936 9963445872