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5013448128 = 263313673331
BaseRepresentation
bin1001010101101001…
…10010010111000000
3110221101200112221000
410222310302113000
540231420320003
62145251332000
7235144414563
oct45264622700
913841615830
105013448128
112142a62867
12b7abb1000
1361b889a70
14357ba24da
151e52111a3
hex12ad325c0

5013448128 has 224 divisors, whose sum is σ = 16114085120. Its totient is φ = 1519119360.

The previous prime is 5013448127. The next prime is 5013448199. The reversal of 5013448128 is 8218443105.

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 = 5013448092 and 5013448101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5013448127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1503423 + ... + 1506753.

It is an arithmetic number, because the mean of its divisors is an integer number (71937880).

Almost surely, 25013448128 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 5013448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057042560).

5013448128 is an abundant number, since it is smaller than the sum of its proper divisors (11100636992).

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

5013448128 is a wasteful number, since it uses less digits than its factorization.

5013448128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5013448128 is about 70805.7068886400. The cubic root of 5013448128 is about 1711.5076392970.

The spelling of 5013448128 in words is "five billion, thirteen million, four hundred forty-eight thousand, one hundred twenty-eight".