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48327068160 = 293257793793
BaseRepresentation
bin101101000000100001…
…001000101000000000
311121201222220102120100
4231000201020220000
51242433212140120
634111240442400
73330406205310
oct550041105000
9147658812510
1048327068160
111954a408658
129448779400
1347322acb27
1424a6493440
1513cca8b490
hexb40848a00

48327068160 has 480 divisors, whose sum is σ = 193752599040. Its totient is φ = 10903486464.

The previous prime is 48327068113. The next prime is 48327068191. The reversal of 48327068160 is 6186072384.

48327068160 is a `hidden beast` number, since 483 + 2 + 7 + 0 + 6 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12739224 + ... + 12743016.

It is an arithmetic number, because the mean of its divisors is an integer number (403651248).

Almost surely, 248327068160 is an apocalyptic number.

48327068160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48327068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96876299520).

48327068160 is an abundant number, since it is smaller than the sum of its proper divisors (145425530880).

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

48327068160 is a wasteful number, since it uses less digits than its factorization.

48327068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 48327068160 in words is "forty-eight billion, three hundred twenty-seven million, sixty-eight thousand, one hundred sixty".