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20503157166 = 23253122317573
BaseRepresentation
bin10011000110000101…
…010101100110101110
31221220220022022010100
4103012011111212232
5313442302012131
613230301451530
71324041650262
oct230605254656
957826268110
1020503157166
118771552498
123b82570ba6
131c199c6a7b
14dc70600a2
158000097e6
hex4c61559ae

20503157166 has 48 divisors (see below), whose sum is σ = 45301273056. Its totient is φ = 6699571008.

The previous prime is 20503157161. The next prime is 20503157221. The reversal of 20503157166 is 66175130502.

20503157166 is a `hidden beast` number, since 2 + 0 + 50 + 31 + 571 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20503157166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20503157161) 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 23 ways as a sum of consecutive naturals, for example, 1157956 + ... + 1175528.

It is an arithmetic number, because the mean of its divisors is an integer number (943776522).

Almost surely, 220503157166 is an apocalyptic number.

20503157166 is an abundant number, since it is smaller than the sum of its proper divisors (24798115890).

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

20503157166 is a wasteful number, since it uses less digits than its factorization.

20503157166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18857 (or 18854 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Adding to 20503157166 its reverse (66175130502), we get a palindrome (86678287668).

The spelling of 20503157166 in words is "twenty billion, five hundred three million, one hundred fifty-seven thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 1223 2446 3669 7338 11007 17573 22014 35146 52719 64819 105438 129638 158157 194457 316314 388914 583371 931369 1166742 1862738 2794107 5588214 8382321 16764642 21491779 42983558 64475337 128950674 193426011 386852022 1139064287 2278128574 3417192861 6834385722 10251578583 20503157166