Search a number
-
+
494481049920 = 263115111361
BaseRepresentation
bin1110011001000010101…
…11100000100101000000
31202021100020100000000000
413030201113200211000
531100144122044140
61015054513000000
750503462401024
oct7144127404500
91667306300000
10494481049920
11180787730630
127ba00853000
1337824930840
1419d0c276384
15cce136da30
hex73215e0940

494481049920 has 1344 divisors, whose sum is σ = 2109017514240. Its totient is φ = 108839116800.

The previous prime is 494481049919. The next prime is 494481049921. The reversal of 494481049920 is 29940184494.

It is a happy number.

494481049920 is a `hidden beast` number, since 4 + 9 + 448 + 104 + 9 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (494481049919) and next prime (494481049921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494481049921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8106246690 + ... + 8106246750.

It is an arithmetic number, because the mean of its divisors is an integer number (1569209460).

Almost surely, 2494481049920 is an apocalyptic number.

494481049920 is a gapful number since it is divisible by the number (40) 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 494481049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054508757120).

494481049920 is an abundant number, since it is smaller than the sum of its proper divisors (1614536464320).

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

494481049920 is an equidigital number, since it uses as much as digits as its factorization.

494481049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 494481049920 in words is "four hundred ninety-four billion, four hundred eighty-one million, forty-nine thousand, nine hundred twenty".