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419116012 = 2272432232
BaseRepresentation
bin11000111110110…
…011001111101100
31002012122022002021
4120332303033230
51324243203022
6105331035524
713246266400
oct3076631754
91065568067
10419116012
111a5642077
12b843bba4
1368aa5553
143d93d100
1526bdc7c7
hex18fb33ec

419116012 has 54 divisors (see below), whose sum is σ = 876974868. Its totient is φ = 174657168.

The previous prime is 419116007. The next prime is 419116031. The reversal of 419116012 is 210611914.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1879333 + ... + 1879555.

Almost surely, 2419116012 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 419116012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438487434).

419116012 is an abundant number, since it is smaller than the sum of its proper divisors (457858856).

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

419116012 is a wasteful number, since it uses less digits than its factorization.

419116012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 419116012 is about 20472.3230728708. The cubic root of 419116012 is about 748.3614670347.

Adding to 419116012 its reverse (210611914), we get a palindrome (629727926).

The spelling of 419116012 in words is "four hundred nineteen million, one hundred sixteen thousand, twelve".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 223 301 446 602 892 1204 1561 2107 3122 4214 6244 8428 9589 10927 19178 21854 38356 43708 49729 67123 99458 134246 198916 268492 348103 469861 696206 939722 1392412 1879444 2138347 2436721 4276694 4873442 8553388 9746884 14968429 29936858 59873716 104779003 209558006 419116012