Search a number
-
+
54548930520 = 23335723141811
BaseRepresentation
bin110010110011010111…
…101001111111011000
312012210121102210012000
4302303113221333120
51343204011234040
641020500521000
73640526154600
oct626327517730
9165717383160
1054548930520
11211524a3967
12a6a43b0160
1351b4318ba6
1428d6935c00
151643deb130
hexcb35e9fd8

54548930520 has 768 divisors, whose sum is σ = 223940505600. Its totient is φ = 11757312000.

The previous prime is 54548930509. The next prime is 54548930533. The reversal of 54548930520 is 2503984545.

54548930520 is a `hidden beast` number, since 5 + 45 + 4 + 89 + 3 + 0 + 520 = 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 191 ways as a sum of consecutive naturals, for example, 67260915 + ... + 67261725.

It is an arithmetic number, because the mean of its divisors is an integer number (291589200).

Almost surely, 254548930520 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 54548930520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111970252800).

54548930520 is an abundant number, since it is smaller than the sum of its proper divisors (169391575080).

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

54548930520 is a wasteful number, since it uses less digits than its factorization.

54548930520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 54548930520 in words is "fifty-four billion, five hundred forty-eight million, nine hundred thirty thousand, five hundred twenty".