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1006212744065 = 51731816746757
BaseRepresentation
bin11101010010001101111…
…01000000001110000001
310120012012200210112011002
432221012331000032001
5112441210430302230
62050125303101345
7132460614130334
oct16510675001601
93505180715132
101006212744065
11358806953521
12143016741855
1373b68461469
14369b55d461b
151b291dc4545
hexea46f40381

1006212744065 has 32 divisors (see below), whose sum is σ = 1319913252864. Its totient is φ = 733074232320.

The previous prime is 1006212744037. The next prime is 1006212744077. The reversal of 1006212744065 is 5604472126001.

It is a happy number.

It is not a de Polignac number, because 1006212744065 - 216 = 1006212678529 is a prime.

It is a Duffinian number.

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 31 ways as a sum of consecutive naturals, for example, 21496667 + ... + 21543423.

It is an arithmetic number, because the mean of its divisors is an integer number (41247289152).

Almost surely, 21006212744065 is an apocalyptic number.

It is an amenable number.

1006212744065 is a deficient number, since it is larger than the sum of its proper divisors (313700508799).

1006212744065 is a wasteful number, since it uses less digits than its factorization.

1006212744065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54977.

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 1006212744065 in words is "one trillion, six billion, two hundred twelve million, seven hundred forty-four thousand, sixty-five".

Divisors: 1 5 17 31 85 155 527 2635 8167 40835 46757 138839 233785 253177 694195 794869 1265885 1449467 3974345 4304009 7247335 21520045 24640939 123204695 381864419 1909322095 6491695123 11837796989 32458475615 59188984945 201242548813 1006212744065