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6461834148 = 22327112732903
BaseRepresentation
bin1100000010010011…
…11100001110100100
3121200100002012000200
412001021330032210
5101213212143043
62545111310500
7316062453420
oct60111741644
917610065020
106461834148
11281659a700
12130407b430
137bc97a103
144542abb80
1527c4627d3
hex18127c3a4

6461834148 has 216 divisors, whose sum is σ = 20807090304. Its totient is φ = 1654836480.

The previous prime is 6461834129. The next prime is 6461834173. The reversal of 6461834148 is 8414381646.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2224465 + ... + 2227367.

Almost surely, 26461834148 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 6461834148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10403545152).

6461834148 is an abundant number, since it is smaller than the sum of its proper divisors (14345256156).

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

6461834148 is a wasteful number, since it uses less digits than its factorization.

6461834148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 2999 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 6461834148 is about 80385.5344449485. The cubic root of 6461834148 is about 1862.5957272120.

The spelling of 6461834148 in words is "six billion, four hundred sixty-one million, eight hundred thirty-four thousand, one hundred forty-eight".