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5803150080 = 283571316607
BaseRepresentation
bin1010110011110010…
…10000101100000000
3112222102122120100110
411121321100230000
543341101300310
62355501351320
7263543650620
oct53171205400
915872576313
105803150080
1125087aa602
12115b568540
13716375520
143d0a0a880
1523e701d20
hex159e50b00

5803150080 has 288 divisors, whose sum is σ = 22812217344. Its totient is φ = 1224327168.

The previous prime is 5803150061. The next prime is 5803150103. The reversal of 5803150080 is 800513085.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341137 + ... + 357743.

It is an arithmetic number, because the mean of its divisors is an integer number (79209088).

Almost surely, 25803150080 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 5803150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11406108672).

5803150080 is an abundant number, since it is smaller than the sum of its proper divisors (17009067264).

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

5803150080 is a wasteful number, since it uses less digits than its factorization.

5803150080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16651 (or 16637 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 5803150080 is about 76178.4095397114. The cubic root of 5803150080 is about 1797.0269935116.

The spelling of 5803150080 in words is "five billion, eight hundred three million, one hundred fifty thousand, eighty".