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5084765280 = 253557217157
BaseRepresentation
bin1001011110001001…
…10101110001100000
3111010100212211200000
410233010311301200
540403144442110
62200320100000
7240001535400
oct45704656140
914110784600
105084765280
11217a243461
12b9aa64600
13630599c6a
14363448800
151eb5ec1c0
hex12f135c60

5084765280 has 864 divisors, whose sum is σ = 22304763936. Its totient is φ = 1086898176.

The previous prime is 5084765267. The next prime is 5084765321. The reversal of 5084765280 is 825674805.

5084765280 is a `hidden beast` number, since 50 + 8 + 4 + 76 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32386962 + ... + 32387118.

It is an arithmetic number, because the mean of its divisors is an integer number (25815699).

Almost surely, 25084765280 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 5084765280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11152381968).

5084765280 is an abundant number, since it is smaller than the sum of its proper divisors (17219998656).

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

5084765280 is a wasteful number, since it uses less digits than its factorization.

5084765280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5084765280 is about 71307.5401342663. The cubic root of 5084765280 is about 1719.5849548401.

The spelling of 5084765280 in words is "five billion, eighty-four million, seven hundred sixty-five thousand, two hundred eighty".