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47147982336 = 29347132312
BaseRepresentation
bin101011111010001111…
…010001111000000000
311111200211020122220000
4223322033101320000
51233024340413321
633354240520000
73256241144310
oct537217217000
9144624218800
1047147982336
1118aa4896a64
129179920000
1345a4c2bc00
1423d3a49440
15135e2d2826
hexafa3d1e00

47147982336 has 900 divisors, whose sum is σ = 179949783816. Its totient is φ = 12033515520.

The previous prime is 47147982313. The next prime is 47147982347. The reversal of 47147982336 is 63328974174.

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.

Its product of digits (6096384) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1520902641 + ... + 1520902671.

Almost surely, 247147982336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47147982336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89974891908).

47147982336 is an abundant number, since it is smaller than the sum of its proper divisors (132801801480).

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

47147982336 is an equidigital number, since it uses as much as digits as its factorization.

47147982336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 56 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 47147982336 in words is "forty-seven billion, one hundred forty-seven million, nine hundred eighty-two thousand, three hundred thirty-six".