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47130550272 = 213331337443
BaseRepresentation
bin101011111001001100…
…110010000000000000
311111122121110000121000
4223321030302000000
51233010410102042
633352415132000
73255640032051
oct537114620000
9144577400530
1047130550272
1118a95a6aaa3
129173b14000
1345a1437590
1423d15cc728
15135c9dc74c
hexaf9332000

47130550272 has 448 divisors, whose sum is σ = 154791826560. Its totient is φ = 14077919232.

The previous prime is 47130550249. The next prime is 47130550279. The reversal of 47130550272 is 27205503174.

47130550272 is a `hidden beast` number, since 4 + 7 + 1 + 30 + 550 + 2 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (47130550279) by changing a digit.

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, 106389283 + ... + 106389725.

It is an arithmetic number, because the mean of its divisors is an integer number (345517470).

Almost surely, 247130550272 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 47130550272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77395913280).

47130550272 is an abundant number, since it is smaller than the sum of its proper divisors (107661276288).

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

47130550272 is a wasteful number, since it uses less digits than its factorization.

47130550272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 47130550272 in words is "forty-seven billion, one hundred thirty million, five hundred fifty thousand, two hundred seventy-two".