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1006839309444 = 223174935486811
BaseRepresentation
bin11101010011011000100…
…11001010010010000100
310120020211100210100021020
432221230103022102010
5112444001330400234
62050311404351140
7132512262631503
oct16515423122204
93506740710236
101006839309444
11358aa85a6351
121431705454b0
1373c381cb8c7
1436a348d483a
151b2cbddd549
hexea6c4ca484

1006839309444 has 24 divisors (see below), whose sum is σ = 2487485353248. Its totient is φ = 315871155840.

The previous prime is 1006839309313. The next prime is 1006839309499. The reversal of 1006839309444 is 4449039386001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2467743202 + ... + 2467743609.

It is an arithmetic number, because the mean of its divisors is an integer number (103645223052).

Almost surely, 21006839309444 is an apocalyptic number.

It is an amenable number.

1006839309444 is an abundant number, since it is smaller than the sum of its proper divisors (1480646043804).

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

1006839309444 is a wasteful number, since it uses less digits than its factorization.

1006839309444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935486835 (or 4935486833 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 1006839309444 in words is "one trillion, six billion, eight hundred thirty-nine million, three hundred nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 4935486811 9870973622 14806460433 19741947244 29612920866 59225841732 83903275787 167806551574 251709827361 335613103148 503419654722 1006839309444