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674472274476 = 22371113243100447
BaseRepresentation
bin10011101000010011010…
…11100010101000101100
32101110221010120120121020
421310021223202220230
542022304400240401
61233503121334140
766505023511530
oct11641153425054
92343833516536
10674472274476
11240051019680
12aa873497350
134b7aa7c1a00
1424904c29bc0
1512827de1d36
hex9d09ae2a2c

674472274476 has 288 divisors, whose sum is σ = 2174074011648. Its totient is φ = 157949326080.

The previous prime is 674472274447. The next prime is 674472274481.

674472274476 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6664485 + ... + 6764931.

It is an arithmetic number, because the mean of its divisors is an integer number (7548868096).

Almost surely, 2674472274476 is an apocalyptic number.

674472274476 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674472274476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087037005824).

674472274476 is an abundant number, since it is smaller than the sum of its proper divisors (1499601737172).

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

674472274476 is a wasteful number, since it uses less digits than its factorization.

674472274476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100541 (or 100526 counting only the distinct ones).

The product of its digits is 88510464, while the sum is 60.

The spelling of 674472274476 in words is "six hundred seventy-four billion, four hundred seventy-two million, two hundred seventy-four thousand, four hundred seventy-six".