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4803122016 = 2533711234373
BaseRepresentation
bin1000111100100100…
…11101001101100000
3110101201220212202000
410132102131031200
534314044401031
62112335324000
7230011602120
oct43622351540
913351825660
104803122016
112045267730
12b20680600
135b7128644
14337c92c80
151d1a173e6
hex11e49d360

4803122016 has 768 divisors, whose sum is σ = 18904596480. Its totient is φ = 1149603840.

The previous prime is 4803122011. The next prime is 4803122017. The reversal of 4803122016 is 6102213084.

It is a super-2 number, since 2×48031220162 = 46139962201167808512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4803122011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65796156 + ... + 65796228.

It is an arithmetic number, because the mean of its divisors is an integer number (24615360).

Almost surely, 24803122016 is an apocalyptic number.

4803122016 is a gapful number since it is divisible by the number (46) 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 4803122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9452298240).

4803122016 is an abundant number, since it is smaller than the sum of its proper divisors (14101474464).

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

4803122016 is a wasteful number, since it uses less digits than its factorization.

4803122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4803122016 is about 69304.5598499839. The cubic root of 4803122016 is about 1687.2309749903.

The spelling of 4803122016 in words is "four billion, eight hundred three million, one hundred twenty-two thousand, sixteen".