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4791000060 = 22325711418431
BaseRepresentation
bin1000111011001000…
…01101101111111100
3110100220010000112200
410131210031233330
534302444000220
62111223431500
7226503554130
oct43544155774
913326100480
104791000060
112039438290
12b185b5590
135b4772ca2
143364193c0
151d0920890
hex11d90dbfc

4791000060 has 288 divisors, whose sum is σ = 18562811904. Its totient is φ = 971136000.

The previous prime is 4791000047. The next prime is 4791000077. The reversal of 4791000060 is 600001974.

It is a junction number, because it is equal to n+sod(n) for n = 4790999988 and 4791000033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 564045 + ... + 572475.

It is an arithmetic number, because the mean of its divisors is an integer number (64454208).

Almost surely, 24791000060 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 4791000060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9281405952).

4791000060 is an abundant number, since it is smaller than the sum of its proper divisors (13771811844).

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

4791000060 is a wasteful number, since it uses less digits than its factorization.

4791000060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8505 (or 8500 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4791000060 is about 69217.0503561081. The cubic root of 4791000060 is about 1685.8103871903.

The spelling of 4791000060 in words is "four billion, seven hundred ninety-one million, sixty", and thus it is an aban number.