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47131187040 = 2533572534201
BaseRepresentation
bin101011111001001111…
…001101011101100000
311111122122122101002000
4223321033031131200
51233011040441130
633352440524000
73255645323400
oct537117153540
9144578571060
1047131187040
1118a96365453
129174180600
1345a15cb372
1423d1716800
15135cab6260
hexaf93cd760

47131187040 has 576 divisors, whose sum is σ = 195558390720. Its totient is φ = 10567065600.

The previous prime is 47131187021. The next prime is 47131187057. The reversal of 47131187040 is 4078113174.

47131187040 is a `hidden beast` number, since 471 + 3 + 1 + 187 + 0 + 4 + 0 = 666.

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 = 47131186986 and 47131187004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11216940 + ... + 11221140.

It is an arithmetic number, because the mean of its divisors is an integer number (339511095).

Almost surely, 247131187040 is an apocalyptic number.

47131187040 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 47131187040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97779195360).

47131187040 is an abundant number, since it is smaller than the sum of its proper divisors (148427203680).

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

47131187040 is a wasteful number, since it uses less digits than its factorization.

47131187040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 47131187040 in words is "forty-seven billion, one hundred thirty-one million, one hundred eighty-seven thousand, forty".