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5189557248 = 21034193789
BaseRepresentation
bin1001101010101001…
…00101110000000000
3111101200001211020000
410311110211300000
541112011312443
62214542120000
7242413336341
oct46524456000
914350054200
105189557248
112223408197
121009b80000
136491ca945
143733260c8
152058eb8d3
hex135525c00

5189557248 has 440 divisors, whose sum is σ = 16941790800. Its totient is φ = 1576599552.

The previous prime is 5189557237. The next prime is 5189557313. The reversal of 5189557248 is 8427559815.

5189557248 is a `hidden beast` number, since 5 + 1 + 89 + 557 + 2 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4032000) is a multiple of the sum of its prime divisors (150).

It is a junction number, because it is equal to n+sod(n) for n = 5189557194 and 5189557203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58309588 + ... + 58309676.

It is an arithmetic number, because the mean of its divisors is an integer number (38504070).

Almost surely, 25189557248 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 5189557248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8470895400).

5189557248 is an abundant number, since it is smaller than the sum of its proper divisors (11752233552).

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

5189557248 is a wasteful number, since it uses less digits than its factorization.

5189557248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 150 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 54.

The square root of 5189557248 is about 72038.5816628840. The cubic root of 5189557248 is about 1731.3177001281.

The spelling of 5189557248 in words is "five billion, one hundred eighty-nine million, five hundred fifty-seven thousand, two hundred forty-eight".