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4869732960 = 253451723312
BaseRepresentation
bin1001000100100001…
…00011101001100000
3110120101021001210000
410202100203221200
534433122423320
62123115140000
7231451022121
oct44220435140
913511231700
104869732960
1120799234a4
12b3aa44600
135c7b7b6c1
14342a72048
151d77c3c90
hex122423a60

4869732960 has 720 divisors, whose sum is σ = 19620504288. Its totient is φ = 1131356160.

The previous prime is 4869732947. The next prime is 4869732979. The reversal of 4869732960 is 692379684.

It is a happy number.

4869732960 is a `hidden beast` number, since 486 + 9 + 73 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4869732897 and 4869732906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 157088145 + ... + 157088175.

Almost surely, 24869732960 is an apocalyptic number.

4869732960 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 4869732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9810252144).

4869732960 is an abundant number, since it is smaller than the sum of its proper divisors (14750771328).

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

4869732960 is a wasteful number, since it uses less digits than its factorization.

4869732960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 4869732960 is about 69783.4719686546. The cubic root of 4869732960 is about 1694.9948468792.

The spelling of 4869732960 in words is "four billion, eight hundred sixty-nine million, seven hundred thirty-two thousand, nine hundred sixty".