Search a number
-
+
674128000000 = 21056713463
BaseRepresentation
bin10011100111101010010…
…10001111010000000000
32101110001010202121210201
421303311022033100000
542021103232000000
61233405022334544
766463343312050
oct11636512172000
92343033677721
10674128000000
1123a994755114
12aa79812a454
134b7543918c0
14248b120d560
1512807a8996a
hex9cf528f400

674128000000 has 616 divisors, whose sum is σ = 2077678405376. Its totient is φ = 212889600000.

The previous prime is 674127999959. The next prime is 674128000009. The reversal of 674128000000 is 821476.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 674128000000 = 12403 + 87603 = 25003 + 87003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674128000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1455999769 + ... + 1456000231.

Almost surely, 2674128000000 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 674128000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038839202688).

674128000000 is an abundant number, since it is smaller than the sum of its proper divisors (1403550405376).

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

674128000000 is an frugal number, since it uses more digits than its factorization.

674128000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

Adding to 674128000000 its reverse (821476), we get a palindrome (674128821476).

The spelling of 674128000000 in words is "six hundred seventy-four billion, one hundred twenty-eight million", and thus it is an aban number.