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984966993 = 33107340937
BaseRepresentation
bin111010101101010…
…110011101010001
32112122101111201000
4322231112131101
54004122420433
6241423132213
733260036613
oct7255263521
92478344630
10984966993
11465a9630a
12235a44069
131290a580a
1494b56db3
155b712113
hex3ab56751

984966993 has 16 divisors (see below), whose sum is σ = 1472852160. Its totient is φ = 650505888.

The previous prime is 984966989. The next prime is 984967007. The reversal of 984966993 is 399669489.

It is not a de Polignac number, because 984966993 - 22 = 984966989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 984966993.

It is not an unprimeable number, because it can be changed into a prime (984966943) 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, 167580 + ... + 173357.

It is an arithmetic number, because the mean of its divisors is an integer number (92053260).

Almost surely, 2984966993 is an apocalyptic number.

It is an amenable number.

984966993 is a deficient number, since it is larger than the sum of its proper divisors (487885167).

984966993 is a wasteful number, since it uses less digits than its factorization.

984966993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341053 (or 341047 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 63.

The square root of 984966993 is about 31384.1838033109. The cubic root of 984966993 is about 994.9636756855.

The spelling of 984966993 in words is "nine hundred eighty-four million, nine hundred sixty-six thousand, nine hundred ninety-three".

Divisors: 1 3 9 27 107 321 963 2889 340937 1022811 3068433 9205299 36480259 109440777 328322331 984966993