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48477479040 = 27325231013623
BaseRepresentation
bin101101001001011110…
…111010000010000000
311122010110221002111200
4231021132322002000
51243240213312130
634134212341200
73334213526064
oct551136720200
9148113832450
1048477479040
1119617300571
12948b014800
1347574c3a53
1424bc447aa4
1513dad9c760
hexb497ba080

48477479040 has 384 divisors, whose sum is σ = 176455169280. Its totient is φ = 12239462400.

The previous prime is 48477479023. The next prime is 48477479051. The reversal of 48477479040 is 4097477484.

It is a happy number.

48477479040 is a `hidden beast` number, since 4 + 8 + 477 + 47 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 13378669 + ... + 13382291.

It is an arithmetic number, because the mean of its divisors is an integer number (459518670).

Almost surely, 248477479040 is an apocalyptic number.

48477479040 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 48477479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88227584640).

48477479040 is an abundant number, since it is smaller than the sum of its proper divisors (127977690240).

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

48477479040 is a wasteful number, since it uses less digits than its factorization.

48477479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 48477479040 in words is "forty-eight billion, four hundred seventy-seven million, four hundred seventy-nine thousand, forty".