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5471870040 = 233257131959149
BaseRepresentation
bin1010001100010011…
…00001110001011000
3112010100021210120100
411012021201301120
542201244320130
62302545055400
7252412061610
oct50611416130
915110253510
105471870040
112358800a4a
121088627560
13692844c30
1439ca13a40
152205b4c60
hex146261c58

5471870040 has 768 divisors, whose sum is σ = 23587200000. Its totient is φ = 1067986944.

The previous prime is 5471869999. The next prime is 5471870071. The reversal of 5471870040 is 400781745.

5471870040 is a `hidden beast` number, since 547 + 1 + 8 + 70 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5471869977 and 5471870004.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 36723886 + ... + 36724034.

It is an arithmetic number, because the mean of its divisors is an integer number (30712500).

Almost surely, 25471870040 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 5471870040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600000).

5471870040 is an abundant number, since it is smaller than the sum of its proper divisors (18115329960).

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

5471870040 is a wasteful number, since it uses less digits than its factorization.

5471870040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 5471870040 is about 73972.0896014166. The cubic root of 5471870040 is about 1762.1596723304.

The spelling of 5471870040 in words is "five billion, four hundred seventy-one million, eight hundred seventy thousand, forty".