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5059821240 = 2332531672101
BaseRepresentation
bin1001011011001011…
…01011111010111000
3111001121221112212200
410231211223322320
540330303234430
62154025310200
7236246525265
oct45545537270
914047845780
105059821240
112167156651
12b92635360
13628375386
1435ddd426c
151e9321460
hex12d96beb8

5059821240 has 288 divisors, whose sum is σ = 17402636160. Its totient is φ = 1273536000.

The previous prime is 5059821191. The next prime is 5059821281. The reversal of 5059821240 is 421289505.

5059821240 is a `hidden beast` number, since 5 + 0 + 598 + 21 + 2 + 40 = 666.

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 = 5059821195 and 5059821204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50097190 + ... + 50097290.

It is an arithmetic number, because the mean of its divisors is an integer number (60425820).

Almost surely, 25059821240 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 5059821240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701318080).

5059821240 is an abundant number, since it is smaller than the sum of its proper divisors (12342814920).

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

5059821240 is a wasteful number, since it uses less digits than its factorization.

5059821240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5059821240 is about 71132.4204564979. The cubic root of 5059821240 is about 1716.7684546216.

The spelling of 5059821240 in words is "five billion, fifty-nine million, eight hundred twenty-one thousand, two hundred forty".