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417478106006 = 21361332618107
BaseRepresentation
bin1100001001100111010…
…00100101101110010110
31110220120202201011001022
412010303220211232112
523314443343343011
6515441540401142
742106332231203
oct6046350455626
91426522634038
10417478106006
11151062564105
1268ab06a61b2
13304a26bc2c0
14162c5578caa
15acd60618db
hex6133a25b96

417478106006 has 16 divisors (see below), whose sum is σ = 674497927824. Its totient is φ = 192650711904.

The previous prime is 417478105963. The next prime is 417478106027. The reversal of 417478106006 is 600601874714.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1149596 + ... + 1468511.

It is an arithmetic number, because the mean of its divisors is an integer number (42156120489).

Almost surely, 2417478106006 is an apocalyptic number.

417478106006 is a deficient number, since it is larger than the sum of its proper divisors (257019821818).

417478106006 is a wasteful number, since it uses less digits than its factorization.

417478106006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624255.

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 417478106006 in words is "four hundred seventeen billion, four hundred seventy-eight million, one hundred six thousand, six".

Divisors: 1 2 13 26 6133 12266 79729 159458 2618107 5236214 34035391 68070782 16056850231 32113700462 208739053003 417478106006