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4944915360 = 25325721123277
BaseRepresentation
bin1001001101011110…
…10110101110100000
3110202121201201122100
410212233112232200
540111344242420
62134402410400
7233353041600
oct44657265640
913677651570
104944915360
112108304110
12b60060a00
1360a613028
1434ca42c00
151de1c5190
hex126bd6ba0

4944915360 has 864 divisors, whose sum is σ = 22425766272. Its totient is φ = 979292160.

The previous prime is 4944915347. The next prime is 4944915377. The reversal of 4944915360 is 635194494.

4944915360 is a `hidden beast` number, since 494 + 4 + 9 + 153 + 6 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 17851542 + ... + 17851818.

It is an arithmetic number, because the mean of its divisors is an integer number (25955748).

Almost surely, 24944915360 is an apocalyptic number.

4944915360 is a gapful number since it is divisible by the number (40) 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 4944915360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11212883136).

4944915360 is an abundant number, since it is smaller than the sum of its proper divisors (17480850912).

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

4944915360 is a wasteful number, since it uses less digits than its factorization.

4944915360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4944915360 is about 70320.0921501103. The cubic root of 4944915360 is about 1703.6731833717.

The spelling of 4944915360 in words is "four billion, nine hundred forty-four million, nine hundred fifteen thousand, three hundred sixty".