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20163141414 = 232131714293547
BaseRepresentation
bin10010110001110100…
…010001111100100110
31221001012111201012100
4102301310101330212
5312243231011124
613132434032530
71312442605563
oct226164217446
957035451170
1020163141414
118607627639
123aa8718746
131b94428210
14d93c3186a
157d02441c9
hex4b1d11f26

20163141414 has 96 divisors (see below), whose sum is σ = 49863733920. Its totient is φ = 5833368576.

The previous prime is 20163141391. The next prime is 20163141419. The reversal of 20163141414 is 41414136102.

20163141414 is a `hidden beast` number, since 2 + 0 + 1 + 631 + 4 + 14 + 14 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20163141419) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5682789 + ... + 5686335.

It is an arithmetic number, because the mean of its divisors is an integer number (519413895).

Almost surely, 220163141414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20163141414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24931866960).

20163141414 is an abundant number, since it is smaller than the sum of its proper divisors (29700592506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20163141414 is a wasteful number, since it uses less digits than its factorization.

20163141414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 20163141414 its reverse (41414136102), we get a palindrome (61577277516).

The spelling of 20163141414 in words is "twenty billion, one hundred sixty-three million, one hundred forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1429 1989 2858 3547 3978 4287 7094 8574 10641 12861 18577 21282 24293 25722 31923 37154 46111 48586 55731 60299 63846 72879 92222 111462 120598 138333 145758 167193 180897 218637 276666 315809 334386 361794 414999 437274 542691 631618 783887 829998 947427 1085382 1567774 1894854 2351661 2842281 4703322 5068663 5684562 7054983 10137326 14109966 15205989 30411978 45617967 65892619 86167271 91235934 131785238 172334542 197677857 258501813 395355714 517003626 593033571 775505439 1120174523 1186067142 1551010878 2240349046 3360523569 6721047138 10081570707 20163141414