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518146317164 = 227215174323563
BaseRepresentation
bin1111000101000111110…
…11010101101101101100
31211112102111201010200102
413202203323111231230
531442130424122124
61034011053450232
752302102012200
oct7424373255554
91745374633612
10518146317164
1118a8210a7133
12845061a0978
1339b2678ab58
141b11525ab00
15d728c8eaae
hex78a3ed5b6c

518146317164 has 72 divisors (see below), whose sum is σ = 1063257447168. Its totient is φ = 220285850400.

The previous prime is 518146317151. The next prime is 518146317167. The reversal of 518146317164 is 461713641815.

It is not an unprimeable number, because it can be changed into a prime (518146317167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21978047 + ... + 22001609.

It is an arithmetic number, because the mean of its divisors is an integer number (14767464544).

Almost surely, 2518146317164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518146317164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531628723584).

518146317164 is an abundant number, since it is smaller than the sum of its proper divisors (545111130004).

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

518146317164 is a wasteful number, since it uses less digits than its factorization.

518146317164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24475 (or 24466 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

Adding to 518146317164 its reverse (461713641815), we get a palindrome (979859958979).

The spelling of 518146317164 in words is "five hundred eighteen billion, one hundred forty-six million, three hundred seventeen thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 151 196 302 604 743 1057 1486 2114 2972 4228 5201 7399 10402 14798 20804 23563 29596 36407 47126 72814 94252 112193 145628 164941 224386 329882 448772 659764 785351 1154587 1570702 2309174 3141404 3558013 4618348 5497457 7116026 10994914 14232052 17507309 21989828 24906091 35014618 49812182 70029236 99624364 122551163 174342637 245102326 348685274 490204652 697370548 857858141 1715716282 2643603659 3431432564 5287207318 10574414636 18505225613 37010451226 74020902452 129536579291 259073158582 518146317164