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490316499456 = 2937239832017
BaseRepresentation
bin1110010001010010010…
…01000000101000000000
31201212120222222220202020
413020221021000220000
531013132010440311
61013125344121440
750265333323340
oct7105111005000
91655528886666
10490316499456
11179a3a977193
127b03a006280
133730cbb73b4
1419a3512ad20
15cb4a942c06
hex7229240a00

490316499456 has 320 divisors, whose sum is σ = 1560102432768. Its totient is φ = 133796855808.

The previous prime is 490316499373. The next prime is 490316499457. The reversal of 490316499456 is 654994613094.

It is a self number, because there is not a number n which added to its sum of digits gives 490316499456.

It is not an unprimeable number, because it can be changed into a prime (490316499457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243090960 + ... + 243092976.

Almost surely, 2490316499456 is an apocalyptic number.

490316499456 is a gapful number since it is divisible by the number (46) 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 490316499456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780051216384).

490316499456 is an abundant number, since it is smaller than the sum of its proper divisors (1069785933312).

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

490316499456 is a wasteful number, since it uses less digits than its factorization.

490316499456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 490316499456 in words is "four hundred ninety billion, three hundred sixteen million, four hundred ninety-nine thousand, four hundred fifty-six".