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5058690840 = 2333572347619
BaseRepresentation
bin1001011011000010…
…10111111100011000
3111001112211010021000
410231201113330120
540330011101330
62153545145000
7236234106540
oct45541277430
914045733230
105058690840
112166554335
12b9218b160
1362806a9b8
1435dbbc320
151e919b560
hex12d857f18

5058690840 has 512 divisors, whose sum is σ = 20570112000. Its totient is φ = 1080718848.

The previous prime is 5058690821. The next prime is 5058690859. The reversal of 5058690840 is 480968505.

5058690840 is a `hidden beast` number, since 505 + 8 + 69 + 0 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5058690821) and next prime (5058690859).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8172051 + ... + 8172669.

It is an arithmetic number, because the mean of its divisors is an integer number (40176000).

Almost surely, 25058690840 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 5058690840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285056000).

5058690840 is an abundant number, since it is smaller than the sum of its proper divisors (15511421160).

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

5058690840 is a wasteful number, since it uses less digits than its factorization.

5058690840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5058690840 is about 71124.4742687073. The cubic root of 5058690840 is about 1716.6405990114.

The spelling of 5058690840 in words is "five billion, fifty-eight million, six hundred ninety thousand, eight hundred forty".