Search a number
-
+
47827031040 = 21033519131139
BaseRepresentation
bin101100100010101101…
…101001010000000000
311120110010222220121000
4230202231221100000
51240422204443130
633545455132000
73312125025165
oct544255512000
9146403886530
1047827031040
1119313126338
129329214000
134682813b89
142459ccc06c
15139dc17260
hexb22b69400

47827031040 has 704 divisors, whose sum is σ = 181577088000. Its totient is φ = 11904122880.

The previous prime is 47827031023. The next prime is 47827031041. The reversal of 47827031040 is 4013072874.

It is a happy number.

47827031040 is a `hidden beast` number, since 4 + 78 + 270 + 310 + 4 + 0 = 666.

It is a super-2 number, since 2×478270310402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 47827030986 and 47827031004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47827031041) 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 63 ways as a sum of consecutive naturals, for example, 344079291 + ... + 344079429.

It is an arithmetic number, because the mean of its divisors is an integer number (257922000).

Almost surely, 247827031040 is an apocalyptic number.

47827031040 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 47827031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90788544000).

47827031040 is an abundant number, since it is smaller than the sum of its proper divisors (133750056960).

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

47827031040 is a wasteful number, since it uses less digits than its factorization.

47827031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 47827031040 in words is "forty-seven billion, eight hundred twenty-seven million, thirty-one thousand, forty".