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4845300768 = 253471122207
BaseRepresentation
bin1001000001100110…
…10110110000100000
3110111200021210010000
410200303112300200
534410344111033
62120443340000
7231033243210
oct44063266040
913450253100
104845300768
112067056200
12b32821600
135c2aa5a99
1433d712240
151d5599a13
hex120cd6c20

4845300768 has 360 divisors, whose sum is σ = 17908805376. Its totient is φ = 1257949440.

The previous prime is 4845300767. The next prime is 4845300769. The reversal of 4845300768 is 8670035484.

4845300768 is a `hidden beast` number, since 48 + 4 + 530 + 0 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4845300767) and next prime (4845300769).

It is not an unprimeable number, because it can be changed into a prime (4845300767) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2194321 + ... + 2196527.

Almost surely, 24845300768 is an apocalyptic number.

4845300768 is a gapful number since it is divisible by the number (48) 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 4845300768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8954402688).

4845300768 is an abundant number, since it is smaller than the sum of its proper divisors (13063504608).

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

4845300768 is a wasteful number, since it uses less digits than its factorization.

4845300768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4845300768 is about 69608.1946899932. The cubic root of 4845300768 is about 1692.1554105025.

The spelling of 4845300768 in words is "four billion, eight hundred forty-five million, three hundred thousand, seven hundred sixty-eight".