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6490722240 = 263351922081
BaseRepresentation
bin1100000101110000…
…01000111111000000
3121202100102212001000
412002320020333000
5101243111102430
62552022412000
7316563141312
oct60270107700
917670385030
106490722240
112830930762
121311891000
137c5952c62
1445806b7b2
1527ec6be60
hex182e08fc0

6490722240 has 336 divisors, whose sum is σ = 24178016160. Its totient is φ = 1638973440.

The previous prime is 6490722229. The next prime is 6490722257. The reversal of 6490722240 is 422270946.

6490722240 is a `hidden beast` number, since 649 + 0 + 7 + 2 + 2 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6490722195 and 6490722204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3118000 + ... + 3120080.

Almost surely, 26490722240 is an apocalyptic number.

6490722240 is a gapful number since it is divisible by the number (60) 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 6490722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12089008080).

6490722240 is an abundant number, since it is smaller than the sum of its proper divisors (17687293920).

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

6490722240 is a wasteful number, since it uses less digits than its factorization.

6490722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6490722240 is about 80565.0187115972. The cubic root of 6490722240 is about 1865.3672237464.

The spelling of 6490722240 in words is "six billion, four hundred ninety million, seven hundred twenty-two thousand, two hundred forty".