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4781046816 = 253373131773
BaseRepresentation
bin1000111001111100…
…01111110000100000
3110100012101100021000
410130332033300200
534242421444231
62110230232000
7226323141000
oct43476176040
913305340230
104781046816
11203385a267
12b151b5600
135b26997b0
14334d88000
151ceb066e6
hex11cf8fc20

4781046816 has 768 divisors, whose sum is σ = 18797184000. Its totient is φ = 1170505728.

The previous prime is 4781046793. The next prime is 4781046821. The reversal of 4781046816 is 6186401874.

4781046816 is a `hidden beast` number, since 478 + 104 + 68 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65493756 + ... + 65493828.

It is an arithmetic number, because the mean of its divisors is an integer number (24475500).

Almost surely, 24781046816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4781046816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9398592000).

4781046816 is an abundant number, since it is smaller than the sum of its proper divisors (14016137184).

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

4781046816 is a wasteful number, since it uses less digits than its factorization.

4781046816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4781046816 is about 69145.1141874825. The cubic root of 4781046816 is about 1684.6421610075.

The spelling of 4781046816 in words is "four billion, seven hundred eighty-one million, forty-six thousand, eight hundred sixteen".