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1006646200145 = 51941713640081
BaseRepresentation
bin11101010011000001100…
…10100000011101010001
310120020022220102101002222
432221200302200131101
5112443102411401040
62050240305350425
7132504426343565
oct16514062403521
93506286371088
101006646200145
11358a0959a493
12143117938415
1373c071b7b51
1436a16dc76a5
151b2b9e95bb5
hexea60ca0751

1006646200145 has 32 divisors (see below), whose sum is σ = 1320912956160. Its totient is φ = 733840128000.

The previous prime is 1006646200129. The next prime is 1006646200151. The reversal of 1006646200145 is 5410026466001.

It is not a de Polignac number, because 1006646200145 - 24 = 1006646200129 is a prime.

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, 1543496 + ... + 2096585.

It is an arithmetic number, because the mean of its divisors is an integer number (41278529880).

Almost surely, 21006646200145 is an apocalyptic number.

It is an amenable number.

1006646200145 is a deficient number, since it is larger than the sum of its proper divisors (314266756015).

1006646200145 is a wasteful number, since it uses less digits than its factorization.

1006646200145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640217.

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 1006646200145 in words is "one trillion, six billion, six hundred forty-six million, two hundred thousand, one hundred forty-five".

Divisors: 1 5 19 41 71 95 205 355 779 1349 2911 3895 6745 14555 55309 276545 3640081 18200405 69161539 149243321 258445751 345807695 746216605 1292228755 2835623099 4910469269 10596275791 14178115495 24552346345 52981378955 201329240029 1006646200145