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641164112 = 24172419781
BaseRepresentation
bin100110001101110…
…110001101010000
31122200110111210222
4212031312031100
52303114222422
6143342212212
721613543061
oct4615661520
91580414728
10641164112
112a9a140a6
1215a884068
13a2aac264
1461220568
153b44e842
hex26376350

641164112 has 40 divisors (see below), whose sum is σ = 1320922152. Its totient is φ = 300441600.

The previous prime is 641164093. The next prime is 641164159. The reversal of 641164112 is 211461146.

It can be written as a sum of positive squares in 4 ways, for example, as 227285776 + 413878336 = 15076^2 + 20344^2 .

It is a super-2 number, since 2×6411641122 = 822182837033497088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60662 + ... + 70442.

Almost surely, 2641164112 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 641164112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660461076).

641164112 is an abundant number, since it is smaller than the sum of its proper divisors (679758040).

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

641164112 is a wasteful number, since it uses less digits than its factorization.

641164112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10047 (or 10041 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 641164112 is about 25321.2186120653. The cubic root of 641164112 is about 862.2960602185.

The spelling of 641164112 in words is "six hundred forty-one million, one hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 241 272 482 964 1928 3856 4097 8194 9781 16388 19562 32776 39124 65552 78248 156496 166277 332554 665108 1330216 2357221 2660432 4714442 9428884 18857768 37715536 40072757 80145514 160291028 320582056 641164112