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47009206440 = 2333573196679
BaseRepresentation
bin101011110001111101…
…111001000010101000
311111100011010010011000
4223301331321002220
51232233324101230
633332402235000
73252634443000
oct536175710250
9144304103130
1047009206440
1118a33520639
12913b355a60
13458225cab1
1423bd443000
15135201db60
hexaf1f790a8

47009206440 has 512 divisors, whose sum is σ = 192384000000. Its totient is φ = 10177913088.

The previous prime is 47009206417. The next prime is 47009206477. The reversal of 47009206440 is 4460290074.

47009206440 is a `hidden beast` number, since 4 + 7 + 0 + 0 + 9 + 2 + 0 + 644 + 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 = 47009206395 and 47009206404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7035021 + ... + 7041699.

It is an arithmetic number, because the mean of its divisors is an integer number (375750000).

Almost surely, 247009206440 is an apocalyptic number.

47009206440 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 47009206440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96192000000).

47009206440 is an abundant number, since it is smaller than the sum of its proper divisors (145374793560).

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

47009206440 is a wasteful number, since it uses less digits than its factorization.

47009206440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6739 (or 6715 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 47009206440 in words is "forty-seven billion, nine million, two hundred six thousand, four hundred forty".