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6268326480 = 24335131931379
BaseRepresentation
bin1011101011001111…
…10001001001010000
3121011211221222102000
411311213301021100
5100314142421410
62513555554000
7311222616213
oct56547611120
917154858360
106268326480
112727341509
12126b2bb900
1378b856c30
144366d977a
1526a48bdc0
hex1759f1250

6268326480 has 640 divisors, whose sum is σ = 25331712000. Its totient is φ = 1410877440.

The previous prime is 6268326469. The next prime is 6268326487. The reversal of 6268326480 is 846238626.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6268326487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16538931 + ... + 16539309.

It is an arithmetic number, because the mean of its divisors is an integer number (39580800).

Almost surely, 26268326480 is an apocalyptic number.

6268326480 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 6268326480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12665856000).

6268326480 is an abundant number, since it is smaller than the sum of its proper divisors (19063385520).

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

6268326480 is a wasteful number, since it uses less digits than its factorization.

6268326480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 6268326480 is about 79172.7634985669. The cubic root of 6268326480 is about 1843.8144012284.

The spelling of 6268326480 in words is "six billion, two hundred sixty-eight million, three hundred twenty-six thousand, four hundred eighty".