Search a number
-
+
490328152704 = 2736132173159
BaseRepresentation
bin1110010001010011101…
…01011101101010000000
31201212121210220222000000
413020221311131222000
531013143001341304
61013130442000000
750265534346665
oct7105165355200
91655553828000
10490328152704
11179a46506475
127b041aa6000
1337312437600
1419a368c1a6c
15cb4b995939
hex7229d5da80

490328152704 has 1344 divisors, whose sum is σ = 1762727443200. Its totient is φ = 135085916160.

The previous prime is 490328152703. The next prime is 490328152709. The reversal of 490328152704 is 407251823094.

490328152704 is a `hidden beast` number, since 4 + 90 + 32 + 8 + 1 + 527 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 490328152704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490328152703) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 8310646627 + ... + 8310646685.

Almost surely, 2490328152704 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 490328152704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881363721600).

490328152704 is an abundant number, since it is smaller than the sum of its proper divisors (1272399290496).

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

490328152704 is a wasteful number, since it uses less digits than its factorization.

490328152704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 490328152704 its reverse (407251823094), we get a palindrome (897579975798).

The spelling of 490328152704 in words is "four hundred ninety billion, three hundred twenty-eight million, one hundred fifty-two thousand, seven hundred four".