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3506164405 = 517416116493
BaseRepresentation
bin1101000011111011…
…1101001010110101
3100001100110121100221
43100332331022311
524140034230110
61335525134341
7152612622442
oct32076751265
910040417327
103506164405
11153a158237
1281a25a3b1
1343b5173c3
142539249c9
15157c287da
hexd0fbd2b5

3506164405 has 32 divisors (see below), whose sum is σ = 4638640608. Its totient is φ = 2533171200.

The previous prime is 3506164369. The next prime is 3506164427. The reversal of 3506164405 is 5044616053.

It can be written as a sum of positive squares in 16 ways, for example, as 3069270801 + 436893604 = 55401^2 + 20902^2 .

It is not a de Polignac number, because 3506164405 - 29 = 3506163893 is a prime.

It is a Duffinian 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 31 ways as a sum of consecutive naturals, for example, 204339 + ... + 220831.

It is an arithmetic number, because the mean of its divisors is an integer number (144957519).

Almost surely, 23506164405 is an apocalyptic number.

It is an amenable number.

3506164405 is a deficient number, since it is larger than the sum of its proper divisors (1132476203).

3506164405 is a wasteful number, since it uses less digits than its factorization.

3506164405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16617.

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 3506164405 is about 59212.8736424774. The cubic root of 3506164405 is about 1519.1853328642.

The spelling of 3506164405 in words is "three billion, five hundred six million, one hundred sixty-four thousand, four hundred five".

Divisors: 1 5 17 41 61 85 205 305 697 1037 2501 3485 5185 12505 16493 42517 82465 212585 280381 676213 1006073 1401905 3381065 5030365 11495621 17103241 41248993 57478105 85516205 206244965 701232881 3506164405