Search a number
-
+
5271346080 = 25335711132353
BaseRepresentation
bin1001110100011001…
…00101101110100000
3111121100222010102000
410322030211232200
541243431033310
62231023124000
7244425462630
oct47214455640
914540863360
105271346080
1122655a0370
121031443600
136601362c0
143801366c0
1520cba54c0
hex13a325ba0

5271346080 has 1536 divisors, whose sum is σ = 26336378880. Its totient is φ = 948879360.

The previous prime is 5271346063. The next prime is 5271346109. The reversal of 5271346080 is 806431725.

5271346080 is a `hidden beast` number, since 52 + 71 + 3 + 460 + 80 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 255 ways as a sum of consecutive naturals, for example, 99459334 + ... + 99459386.

It is an arithmetic number, because the mean of its divisors is an integer number (17146080).

Almost surely, 25271346080 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 5271346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13168189440).

5271346080 is an abundant number, since it is smaller than the sum of its proper divisors (21065032800).

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

5271346080 is a wasteful number, since it uses less digits than its factorization.

5271346080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5271346080 is about 72604.0362514372. The cubic root of 5271346080 is about 1740.3656781972.

The spelling of 5271346080 in words is "five billion, two hundred seventy-one million, three hundred forty-six thousand, eighty".