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47380225070286 = 232173171792813169
BaseRepresentation
bin10101100010111100100010…
…11111000001010011001110
320012202111122100102211211100
422301132101133001103032
522202234200104222121
6244434101440403530
712660052101062523
oct1261362137012316
9205674570384740
1047380225070286
1114107927941399
1253927316165a6
132058c2267ac84
14b9b30245914a
15572705c06026
hex2b17917c14ce

47380225070286 has 384 divisors, whose sum is σ = 115669256601600. Its totient is φ = 13948526592000.

The previous prime is 47380225070281. The next prime is 47380225070369. The reversal of 47380225070286 is 68207052208374.

47380225070286 is a `hidden beast` number, since 4 + 7 + 38 + 0 + 22 + 507 + 0 + 2 + 86 = 666.

47380225070286 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47380225070281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14951158110 + ... + 14951161278.

It is an arithmetic number, because the mean of its divisors is an integer number (301222022400).

Almost surely, 247380225070286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47380225070286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57834628300800).

47380225070286 is an abundant number, since it is smaller than the sum of its proper divisors (68289031531314).

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

47380225070286 is a wasteful number, since it uses less digits than its factorization.

47380225070286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 47380225070286 in words is "forty-seven trillion, three hundred eighty billion, two hundred twenty-five million, seventy thousand, two hundred eighty-six".