Search a number
-
+
674644446476 = 2271113436416113
BaseRepresentation
bin10011101000100111111…
…00010100110100001100
32101111101010112211011222
421310103330110310030
542023132434241401
61233532151502512
766512214114650
oct11642374246414
92344333484158
10674644446476
1124012a224a90
12aa901087a38
134b807384830
142491da46a60
15128380a0c1b
hex9d13f14d0c

674644446476 has 192 divisors, whose sum is σ = 1624839422976. Its totient is φ = 236578406400.

The previous prime is 674644446383. The next prime is 674644446481.

It is a happy number.

674644446476 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110359196 + ... + 110365308.

It is an arithmetic number, because the mean of its divisors is an integer number (8462705328).

Almost surely, 2674644446476 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 674644446476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812419711488).

674644446476 is an abundant number, since it is smaller than the sum of its proper divisors (950194976500).

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

674644446476 is a wasteful number, since it uses less digits than its factorization.

674644446476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6832 (or 6830 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 62.

The spelling of 674644446476 in words is "six hundred seventy-four billion, six hundred forty-four million, four hundred forty-six thousand, four hundred seventy-six".