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47053418724 = 22381321032
BaseRepresentation
bin101011110100100110…
…100011000011100100
311111110020022100000000
4223310212203003210
51232331133344344
633341022021300
73254012313534
oct536446430344
9144406270000
1047053418724
1118a56478a14
129152117830
13458b46ca00
1423c52714c4
151355d53a69
hexaf49a30e4

47053418724 has 243 divisors, whose sum is σ = 135051516873. Its totient is φ = 14337412128.

The previous prime is 47053418717. The next prime is 47053418729. The reversal of 47053418724 is 42781435074.

The square root of 47053418724 is 216918.

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

47053418724 is a `hidden beast` number, since 47 + 0 + 534 + 1 + 8 + 72 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6960564900 + 40092853824 = 83430^2 + 200232^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a self number, because there is not a number n which added to its sum of digits gives 47053418724.

It is not an unprimeable number, because it can be changed into a prime (47053418729) 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 80 ways as a sum of consecutive naturals, for example, 456829257 + ... + 456829359.

Almost surely, 247053418724 is an apocalyptic number.

47053418724 is the 216918-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47053418724

47053418724 is an abundant number, since it is smaller than the sum of its proper divisors (87998098149).

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

47053418724 is an equidigital number, since it uses as much as digits as its factorization.

47053418724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 47053418724 in words is "forty-seven billion, fifty-three million, four hundred eighteen thousand, seven hundred twenty-four".