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993128972 = 221171317903
BaseRepresentation
bin111011001100011…
…111001000001100
32120012202011211112
4323030133020030
54013220111342
6242314111152
733416312513
oct7314371014
92505664745
10993128972
1146a660550
1223871b4b8
1312a9a28a4
1495c7d67a
155c2c5682
hex3b31f20c

993128972 has 24 divisors (see below), whose sum is σ = 1922683392. Its totient is φ = 445062800.

The previous prime is 993128959. The next prime is 993128977. The reversal of 993128972 is 279821399.

993128972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 993128972.

It is not an unprimeable number, because it can be changed into a prime (993128977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155828 + ... + 162075.

It is an arithmetic number, because the mean of its divisors is an integer number (80111808).

Almost surely, 2993128972 is an apocalyptic number.

It is an amenable number.

993128972 is a deficient number, since it is larger than the sum of its proper divisors (929554420).

993128972 is a wasteful number, since it uses less digits than its factorization.

993128972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317989 (or 317987 counting only the distinct ones).

The product of its digits is 489888, while the sum is 50.

The square root of 993128972 is about 31513.9488480895. The cubic root of 993128972 is about 997.7043915476.

The spelling of 993128972 in words is "nine hundred ninety-three million, one hundred twenty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 4 11 22 44 71 142 284 781 1562 3124 317903 635806 1271612 3496933 6993866 13987732 22571113 45142226 90284452 248282243 496564486 993128972