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4812360960 = 283511591931
BaseRepresentation
bin1000111101101011…
…01100110100000000
3110102101022021012010
410132311230310000
534323431022320
62113305332520
7230153251611
oct43665546400
913371267163
104812360960
11204a4a8020
12b23797140
135b9011984
143391b9c08
151d273eae0
hex11ed6cd00

4812360960 has 288 divisors, whose sum is σ = 17059714560. Its totient is φ = 1146265600.

The previous prime is 4812360941. The next prime is 4812360967. The reversal of 4812360960 is 690632184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4812360967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2491195 + ... + 2493125.

It is an arithmetic number, because the mean of its divisors is an integer number (59235120).

Almost surely, 24812360960 is an apocalyptic number.

4812360960 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 4812360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8529857280).

4812360960 is an abundant number, since it is smaller than the sum of its proper divisors (12247353600).

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

4812360960 is a wasteful number, since it uses less digits than its factorization.

4812360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 4812360960 is about 69371.1824895612. The cubic root of 4812360960 is about 1688.3120946109.

The spelling of 4812360960 in words is "four billion, eight hundred twelve million, three hundred sixty thousand, nine hundred sixty".