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47995170084 = 223640572
BaseRepresentation
bin101100101100101111…
…000010110100100100
311120212212101021000000
4230230233002310210
51241243230420314
634014303021300
73316236133401
oct545457026444
9146785337000
1047995170084
111939a027724
12937559a830
1346ab5c4134
1424743792a8
1513ad87b209
hexb2cbc2d24

47995170084 has 63 divisors (see below), whose sum is σ = 125960761857. Its totient is φ = 15994446624.

The previous prime is 47995170061. The next prime is 47995170089. The reversal of 47995170084 is 48007159974.

The square root of 47995170084 is 219078.

It is a perfect power (a square), and thus also a powerful number.

47995170084 is a `hidden beast` number, since 47 + 9 + 9 + 517 + 0 + 0 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24608196900 + 23386973184 = 156870^2 + 152928^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 47995170084.

It is not an unprimeable number, because it can be changed into a prime (47995170089) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 11828184 + ... + 11832240.

Almost surely, 247995170084 is an apocalyptic number.

47995170084 is the 219078-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47995170084

47995170084 is an abundant number, since it is smaller than the sum of its proper divisors (77965591773).

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

47995170084 is an frugal number, since it uses more digits than its factorization.

47995170084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8136 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 47995170084 in words is "forty-seven billion, nine hundred ninety-five million, one hundred seventy thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 4057 8114 12171 16228 24342 36513 48684 73026 109539 146052 219078 328617 438156 657234 985851 1314468 1971702 2957553 3943404 5915106 11830212 16459249 32918498 49377747 65836996 98755494 148133241 197510988 296266482 444399723 592532964 888799446 1333199169 1777598892 2666398338 3999597507 5332796676 7999195014 11998792521 15998390028 23997585042 47995170084