Search a number
-
+
47247314688 = 283372139501
BaseRepresentation
bin101100000000001010…
…001100111100000000
311111221202011021021000
4230000022030330000
51233230303032223
633412145532000
73261555356100
oct540012147400
9144852137230
1047247314688
1119045971912
1291a7044000
1345bc69a852
142402d05200
151367da4543
hexb0028cf00

47247314688 has 216 divisors, whose sum is σ = 162530990160. Its totient is φ = 13499136000.

The previous prime is 47247314669. The next prime is 47247314693. The reversal of 47247314688 is 88641374274.

47247314688 is a `hidden beast` number, since 4 + 7 + 247 + 314 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268938 + ... + 408438.

Almost surely, 247247314688 is an apocalyptic number.

47247314688 is a gapful number since it is divisible by the number (48) 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 47247314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81265495080).

47247314688 is an abundant number, since it is smaller than the sum of its proper divisors (115283675472).

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

47247314688 is a wasteful number, since it uses less digits than its factorization.

47247314688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139540 (or 139513 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 47247314688 in words is "forty-seven billion, two hundred forty-seven million, three hundred fourteen thousand, six hundred eighty-eight".