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1006106000015 = 5563391991199
BaseRepresentation
bin11101010010000001001…
…01110011101010001111
310120011221020221100211202
432221000211303222033
5112441001114000030
62050110531140115
7132455146616234
oct16510045635217
93504836840752
101006106000015
113587616760a6
12142ba6a4463b
1373b4c2c90bc
14369a536978b
151b28783b745
hexea40973a8f

1006106000015 has 16 divisors (see below), whose sum is σ = 1209793536000. Its totient is φ = 803241341472.

The previous prime is 1006105999981. The next prime is 1006106000027. The reversal of 1006106000015 is 5100006016001.

It is a happy number.

1006106000015 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1006106000015 - 216 = 1006105934479 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10986386 + ... + 11077584.

It is an arithmetic number, because the mean of its divisors is an integer number (75612096000).

Almost surely, 21006106000015 is an apocalyptic number.

1006106000015 is a deficient number, since it is larger than the sum of its proper divisors (203687535985).

1006106000015 is an equidigital number, since it uses as much as digits as its factorization.

1006106000015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95686.

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 1006106000015 in words is "one trillion, six billion, one hundred six million, fifteen", and thus it is an aban number.

Divisors: 1 5 563 2815 3919 19595 91199 455995 2206397 11031985 51345037 256725185 357408881 1787044405 201221200003 1006106000015