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993993018 = 2319109167479
BaseRepresentation
bin111011001111110…
…010000100111010
32120021101002002020
4323033302010322
54013430234033
6242344415310
733426541554
oct7317620472
92507332066
10993993018
114700a0737
12238a77536
1312ac15c65
14960264d4
155c3e66b3
hex3b3f213a

993993018 has 64 divisors (see below), whose sum is σ = 2128896000. Its totient is φ = 308505024.

The previous prime is 993993017. The next prime is 993993101. The reversal of 993993018 is 810399399.

It is not an unprimeable number, because it can be changed into a prime (993993017) 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 31 ways as a sum of consecutive naturals, for example, 2074903 + ... + 2075381.

It is an arithmetic number, because the mean of its divisors is an integer number (33264000).

Almost surely, 2993993018 is an apocalyptic number.

993993018 is an abundant number, since it is smaller than the sum of its proper divisors (1134902982).

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

993993018 is a wasteful number, since it uses less digits than its factorization.

993993018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779.

The product of its (nonzero) digits is 472392, while the sum is 51.

The square root of 993993018 is about 31527.6548128782. The cubic root of 993993018 is about 997.9936499182.

The spelling of 993993018 in words is "nine hundred ninety-three million, nine hundred ninety-three thousand, eighteen".

Divisors: 1 2 3 6 19 38 57 109 114 167 218 327 334 479 501 654 958 1002 1437 2071 2874 3173 4142 6213 6346 9101 9519 12426 18202 18203 19038 27303 36406 52211 54606 54609 79993 104422 109218 156633 159986 239979 313266 345857 479958 691714 992009 1037571 1519867 1984018 2075142 2976027 3039734 4559601 5952054 8719237 9119202 17438474 26157711 52315422 165665503 331331006 496996509 993993018