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5456471680 = 27511193113
BaseRepresentation
bin1010001010011101…
…10010011010000000
3112002021022110222201
411011032302122000
542133324043210
62301235042544
7252134146462
oct50516623200
915067273881
105456471680
112350043a30
121083440454
1368c5b318a
1439a966132
1521e07253a
hex1453b2680

5456471680 has 256 divisors, whose sum is σ = 15153609600. Its totient is φ = 1863106560.

The previous prime is 5456471641. The next prime is 5456471693. The reversal of 5456471680 is 861746545.

It is a self number, because there is not a number n which added to its sum of digits gives 5456471680.

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 31 ways as a sum of consecutive naturals, for example, 48287304 + ... + 48287416.

Almost surely, 25456471680 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 5456471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7576804800).

5456471680 is an abundant number, since it is smaller than the sum of its proper divisors (9697137920).

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

5456471680 is a wasteful number, since it uses less digits than its factorization.

5456471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The square root of 5456471680 is about 73867.9340444824. The cubic root of 5456471680 is about 1760.5051580252.

The spelling of 5456471680 in words is "five billion, four hundred fifty-six million, four hundred seventy-one thousand, six hundred eighty".