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5045004864 = 263317263653
BaseRepresentation
bin1001011001011010…
…01010101001000000
3111000121001210122000
410230231022221000
540313010123424
62152335544000
7236006555664
oct45455125100
914017053560
105045004864
112159856909
12b8968b000
136252884a3
1435c0588a4
151e7d963c9
hex12cb4aa40

5045004864 has 224 divisors, whose sum is σ = 15787664640. Its totient is φ = 1574313984.

The previous prime is 5045004841. The next prime is 5045004889. The reversal of 5045004864 is 4684005405.

5045004864 is a `hidden beast` number, since 50 + 4 + 500 + 48 + 64 = 666.

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

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, 7725562 + ... + 7726214.

Almost surely, 25045004864 is an apocalyptic number.

5045004864 is a gapful number since it is divisible by the number (54) 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 5045004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893832320).

5045004864 is an abundant number, since it is smaller than the sum of its proper divisors (10742659776).

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

5045004864 is a wasteful number, since it uses less digits than its factorization.

5045004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5045004864 is about 71028.1976682500. The cubic root of 5045004864 is about 1715.0911124093.

The spelling of 5045004864 in words is "five billion, forty-five million, four thousand, eight hundred sixty-four".