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5008976280 = 23335711293167
BaseRepresentation
bin1001010101000111…
…01110100110011000
3110221002021100201000
410222203232212120
540224244220110
62145011425000
7235061411250
oct45243564630
913832240630
105008976280
112140489020
12b795b5160
1361a9824b9
1435735a960
151e4b2b1c0
hex12a8ee998

5008976280 has 1024 divisors, whose sum is σ = 22560768000. Its totient is φ = 958003200.

The previous prime is 5008976257. The next prime is 5008976333. The reversal of 5008976280 is 826798005.

5008976280 is a `hidden beast` number, since 500 + 8 + 9 + 7 + 62 + 80 = 666.

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 255 ways as a sum of consecutive naturals, for example, 74760807 + ... + 74760873.

It is an arithmetic number, because the mean of its divisors is an integer number (22032000).

Almost surely, 25008976280 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 5008976280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280384000).

5008976280 is an abundant number, since it is smaller than the sum of its proper divisors (17551791720).

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

5008976280 is a wasteful number, since it uses less digits than its factorization.

5008976280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5008976280 is about 70774.1215417048. The cubic root of 5008976280 is about 1710.9986164620.

The spelling of 5008976280 in words is "five billion, eight million, nine hundred seventy-six thousand, two hundred eighty".