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5002058880 = 273357133181
BaseRepresentation
bin1001010100010010…
…10101110010000000
3110220121020220211000
410222021111302000
540221011341010
62144203252000
7234645541020
oct45211256200
913817226730
105002058880
112137593965
12b7721a000
136193cca70
14356479a80
151e42117c0
hex12a255c80

5002058880 has 512 divisors, whose sum is σ = 21810700800. Its totient is φ = 1055047680.

The previous prime is 5002058863. The next prime is 5002058891. The reversal of 5002058880 is 888502005.

5002058880 is a `hidden beast` number, since 50 + 0 + 20 + 588 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1570890 + ... + 1574070.

It is an arithmetic number, because the mean of its divisors is an integer number (42599025).

Almost surely, 25002058880 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 5002058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10905350400).

5002058880 is an abundant number, since it is smaller than the sum of its proper divisors (16808641920).

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

5002058880 is a wasteful number, since it uses less digits than its factorization.

5002058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5002058880 is about 70725.2351003516. The cubic root of 5002058880 is about 1710.2106234867.

It can be divided in two parts, 50020 and 58880, that added together give a square (108900 = 3302).

The spelling of 5002058880 in words is "five billion, two million, fifty-eight thousand, eight hundred eighty".