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5058492120 = 233551131723
BaseRepresentation
bin1001011011000001…
…00111011011011000
3111001112110000200000
410231200213123120
540324433221440
62153541013000
7236232321303
oct45540473330
914045400600
105058492120
112166429000
12b920b4160
13627ccb406
1435db69b3a
151e915c730
hex12d8276d8

5058492120 has 768 divisors, whose sum is σ = 20718996480. Its totient is φ = 1103984640.

The previous prime is 5058492107. The next prime is 5058492139. The reversal of 5058492120 is 212948505.

5058492120 is a `hidden beast` number, since 50 + 584 + 9 + 2 + 1 + 20 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219934429 + ... + 219934451.

It is an arithmetic number, because the mean of its divisors is an integer number (26977860).

Almost surely, 25058492120 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 5058492120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10359498240).

5058492120 is an abundant number, since it is smaller than the sum of its proper divisors (15660504360).

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

5058492120 is a wasteful number, since it uses less digits than its factorization.

5058492120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 61 counting only the distinct ones).

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

The square root of 5058492120 is about 71123.0772675086. The cubic root of 5058492120 is about 1716.6181205153.

The spelling of 5058492120 in words is "five billion, fifty-eight million, four hundred ninety-two thousand, one hundred twenty".