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4832606688 = 253713641863
BaseRepresentation
bin1001000000000101…
…11011100111100000
3110110210101212002220
410200002323213200
534344121403223
62115311311040
7230520323220
oct44002734740
913423355086
104832606688
11205a975a28
12b2a51b480
135c027cbb0
1433bb6a080
151d43dd6e3
hex1200bb9e0

4832606688 has 192 divisors, whose sum is σ = 15655514112. Its totient is φ = 1271070720.

The previous prime is 4832606629. The next prime is 4832606731. The reversal of 4832606688 is 8866062384.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4832606688.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5599345 + ... + 5600207.

It is an arithmetic number, because the mean of its divisors is an integer number (81539136).

Almost surely, 24832606688 is an apocalyptic number.

4832606688 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 4832606688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7827757056).

4832606688 is an abundant number, since it is smaller than the sum of its proper divisors (10822907424).

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

4832606688 is a wasteful number, since it uses less digits than its factorization.

4832606688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The square root of 4832606688 is about 69516.9525223884. The cubic root of 4832606688 is about 1690.6763731736.

The spelling of 4832606688 in words is "four billion, eight hundred thirty-two million, six hundred six thousand, six hundred eighty-eight".