Search a number
-
+
490441853376 = 263710334019
BaseRepresentation
bin1110010001100001001…
…11001100100111000000
31201212220201212120000000
413020300213030213000
531013411103302001
61013150023000000
750301414653556
oct7106047144700
91655821776000
10490441853376
11179aa4705472
127b073b99000
133732cb67207
1419a47a3bbd6
15cb56954a86
hex72309cc9c0

490441853376 has 224 divisors, whose sum is σ = 1473822604800. Its totient is φ = 161888668416.

The previous prime is 490441853359. The next prime is 490441853411. The reversal of 490441853376 is 673358144094.

490441853376 is a `hidden beast` number, since 4 + 90 + 4 + 4 + 18 + 533 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14399695 + ... + 14433713.

It is an arithmetic number, because the mean of its divisors is an integer number (6579565200).

Almost surely, 2490441853376 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 490441853376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736911302400).

490441853376 is an abundant number, since it is smaller than the sum of its proper divisors (983380751424).

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

490441853376 is an equidigital number, since it uses as much as digits as its factorization.

490441853376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34155 (or 34127 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 490441853376 in words is "four hundred ninety billion, four hundred forty-one million, eight hundred fifty-three thousand, three hundred seventy-six".