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163516166131631 = 17591914591185917
BaseRepresentation
bin100101001011011110010010…
…111111110100111110101111
3210102221222210202121121111112
4211023132102333310332233
5132413022102012203011
61335434142324142235
746304440013232515
oct4513362277647657
9712858722547445
10163516166131631
11481128a8a18415
121640a64123797b
13703167b984951
142c543206c04b5
1513d866daa958b
hex94b792ff4faf

163516166131631 has 32 divisors (see below), whose sum is σ = 177030584156160. Its totient is φ = 150463454860800.

The previous prime is 163516166131621. The next prime is 163516166131667. The reversal of 163516166131631 is 136131661615361.

It is not a de Polignac number, because 163516166131631 - 238 = 163241288224687 is a prime.

It is a super-2 number, since 2×1635161661316312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 163516166131631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163516166131601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879418685 + ... + 879604601.

It is an arithmetic number, because the mean of its divisors is an integer number (5532205754880).

Almost surely, 2163516166131631 is an apocalyptic number.

163516166131631 is a deficient number, since it is larger than the sum of its proper divisors (13514418024529).

163516166131631 is a wasteful number, since it uses less digits than its factorization.

163516166131631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190775.

The product of its digits is 1049760, while the sum is 50.

The spelling of 163516166131631 in words is "one hundred sixty-three trillion, five hundred sixteen billion, one hundred sixty-six million, one hundred thirty-one thousand, six hundred thirty-one".

Divisors: 1 17 59 191 1003 3247 4591 11269 78047 185917 191573 270869 876881 3160589 4604773 10969103 14906977 35510147 51735979 186474751 603672499 853544947 879511643 2095098673 14510264099 35616677441 50359151873 163027084877 856105581841 2771460442909 9618598007743 163516166131631