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4882012128 = 2533717103461
BaseRepresentation
bin1001000101111110…
…11001011111100000
3110121020100220122000
410202333121133200
534444243342003
62124234244000
7231660263340
oct44277313740
913536326560
104882012128
11208584aa74
12b42b86600
135ca58a796
1434454ad20
151d88ec1a3
hex122fd97e0

4882012128 has 384 divisors, whose sum is σ = 17435658240. Its totient is φ = 1297244160.

The previous prime is 4882012103. The next prime is 4882012129. The reversal of 4882012128 is 8212102884.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4882012092 and 4882012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4882012129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10589818 + ... + 10590278.

It is an arithmetic number, because the mean of its divisors is an integer number (45405360).

Almost surely, 24882012128 is an apocalyptic number.

4882012128 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 4882012128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8717829120).

4882012128 is an abundant number, since it is smaller than the sum of its proper divisors (12553646112).

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

4882012128 is a wasteful number, since it uses less digits than its factorization.

4882012128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 4882012128 is about 69871.3970663246. The cubic root of 4882012128 is about 1696.4183101021.

The spelling of 4882012128 in words is "four billion, eight hundred eighty-two million, twelve thousand, one hundred twenty-eight".