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5104754928 = 243272131929101
BaseRepresentation
bin1001100000100010…
…00110000011110000
3111011202111102022100
410300101012003300
540423304124203
62202312340400
7240333462300
oct46021060360
914152442270
105104754928
11218a556a29
12ba56a4700
13634778760
14365d6d600
151ed249ea3
hex1304460f0

5104754928 has 720 divisors, whose sum is σ = 19681552800. Its totient is φ = 1219276800.

The previous prime is 5104754819. The next prime is 5104754959. The reversal of 5104754928 is 8294574015.

5104754928 is a `hidden beast` number, since 510 + 4 + 75 + 49 + 28 = 666.

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 143 ways as a sum of consecutive naturals, for example, 50542078 + ... + 50542178.

It is an arithmetic number, because the mean of its divisors is an integer number (27335490).

Almost surely, 25104754928 is an apocalyptic number.

5104754928 is a gapful number since it is divisible by the number (58) 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 5104754928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9840776400).

5104754928 is an abundant number, since it is smaller than the sum of its proper divisors (14576797872).

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

5104754928 is a wasteful number, since it uses less digits than its factorization.

5104754928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5104754928 is about 71447.5676842816. The cubic root of 5104754928 is about 1721.8353996942.

The spelling of 5104754928 in words is "five billion, one hundred four million, seven hundred fifty-four thousand, nine hundred twenty-eight".