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490003458048 = 2113513233789
BaseRepresentation
bin1110010000101100111…
…10110110100000000000
31201211210011221202200000
413020112132312200000
531012011341124143
61013034322400000
750254512446226
oct7102636664000
91654704852600
10490003458048
1117989a1a5585
127ab71200000
13372900a15b0
1419a05720b16
15cb2d209bd3
hex72167b6800

490003458048 has 1152 divisors, whose sum is σ = 1712855289600. Its totient is φ = 138740760576.

The previous prime is 490003458047. The next prime is 490003458067. The reversal of 490003458048 is 840854300094.

It is a happy number.

490003458048 is a `hidden beast` number, since 490 + 0 + 0 + 3 + 45 + 80 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 490003457994 and 490003458012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490003458047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5505656788 + ... + 5505656876.

It is an arithmetic number, because the mean of its divisors is an integer number (1486853550).

Almost surely, 2490003458048 is an apocalyptic number.

490003458048 is a gapful number since it is divisible by the number (48) 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 490003458048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856427644800).

490003458048 is an abundant number, since it is smaller than the sum of its proper divisors (1222851831552).

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

490003458048 is a wasteful number, since it uses less digits than its factorization.

490003458048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 490003458048 in words is "four hundred ninety billion, three million, four hundred fifty-eight thousand, forty-eight".