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4953834720 = 253353171521
BaseRepresentation
bin1001001110100010…
…11000010011100000
3110210020111212201000
410213101120103200
540121140202340
62135321512000
7233521620552
oct44721302340
913706455630
104953834720
11211234638a
12b63042600
1360c416a63
1434dcc54d2
151ded87d30
hex1274584e0

4953834720 has 384 divisors, whose sum is σ = 18184642560. Its totient is φ = 1257984000.

The previous prime is 4953834713. The next prime is 4953834797. The reversal of 4953834720 is 274383594.

4953834720 is a `hidden beast` number, since 49 + 538 + 3 + 4 + 72 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 9508060 + ... + 9508580.

It is an arithmetic number, because the mean of its divisors is an integer number (47355840).

Almost surely, 24953834720 is an apocalyptic number.

4953834720 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 4953834720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9092321280).

4953834720 is an abundant number, since it is smaller than the sum of its proper divisors (13230807840).

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

4953834720 is a wasteful number, since it uses less digits than its factorization.

4953834720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4953834720 is about 70383.4832897605. The cubic root of 4953834720 is about 1704.6968980440.

The spelling of 4953834720 in words is "four billion, nine hundred fifty-three million, eight hundred thirty-four thousand, seven hundred twenty".