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6298943040 = 2632513832027
BaseRepresentation
bin1011101110111001…
…00011111001000000
3121020222120110102200
411313130203321000
5100400012134130
62521012113200
7312044063265
oct56734437100
917228513380
106298943040
112742653155
121279605800
13794cb6740
1443a7c926c
1526ced8760
hex177723e40

6298943040 has 336 divisors, whose sum is σ = 23625096768. Its totient is φ = 1531072512.

The previous prime is 6298943039. The next prime is 6298943051. The reversal of 6298943040 is 403498926.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3106507 + ... + 3108533.

It is an arithmetic number, because the mean of its divisors is an integer number (70312788).

Almost surely, 26298943040 is an apocalyptic number.

6298943040 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 6298943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11812548384).

6298943040 is an abundant number, since it is smaller than the sum of its proper divisors (17326153728).

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

6298943040 is a wasteful number, since it uses less digits than its factorization.

6298943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6298943040 is about 79365.8808304929. The cubic root of 6298943040 is about 1846.8114581624.

The spelling of 6298943040 in words is "six billion, two hundred ninety-eight million, nine hundred forty-three thousand, forty".