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47781607441 = 541451719553
BaseRepresentation
bin101100100000000000…
…010111100000010001
311120022222112011010111
4230200000113200101
51240324042414231
633541153401321
73311033650651
oct544000274021
9146288464114
1047781607441
111929a520977
129315b69241
13467629b7c9
142453c66361
151399c434b1
hexb20017811

47781607441 has 8 divisors (see below), whose sum is σ = 47882974824. Its totient is φ = 47680289280.

The previous prime is 47781607381. The next prime is 47781607451. The reversal of 47781607441 is 14470618774.

It can be written as a sum of positive squares in 4 ways, for example, as 1382724225 + 46398883216 = 37185^2 + 215404^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 47781607441 - 211 = 47781605393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47781607451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2433921 + ... + 2453473.

It is an arithmetic number, because the mean of its divisors is an integer number (5985371853).

Almost surely, 247781607441 is an apocalyptic number.

It is an amenable number.

47781607441 is a deficient number, since it is larger than the sum of its proper divisors (101367383).

47781607441 is a wasteful number, since it uses less digits than its factorization.

47781607441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24611.

The product of its (nonzero) digits is 1053696, while the sum is 49.

The spelling of 47781607441 in words is "forty-seven billion, seven hundred eighty-one million, six hundred seven thousand, four hundred forty-one".

Divisors: 1 541 4517 19553 2443697 10578173 88320901 47781607441