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47445988041 = 3217242712
BaseRepresentation
bin101100001100000000…
…000101001011001001
311112110120222220212100
4230030000011023021
51234132133104131
633444004104013
73266520146514
oct541400051311
9145416886770
1047445988041
1119138029071
129241695009
1346218ac04a
14242145dd7b
15137a54a7e6
hexb0c0052c9

47445988041 has 27 divisors (see below), whose sum is σ = 72818640583. Its totient is φ = 29763061440.

The previous prime is 47445988027. The next prime is 47445988087. The reversal of 47445988041 is 14088954474.

The square root of 47445988041 is 217821.

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

47445988041 is a `hidden beast` number, since 4 + 7 + 4 + 4 + 598 + 8 + 0 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36938918025 + 10507070016 = 192195^2 + 102504^2 .

It is not a de Polignac number, because 47445988041 - 27 = 47445987913 is a prime.

It is a super-2 number, since 2×474459880412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47445988241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11106736 + ... + 11111006.

Almost surely, 247445988041 is an apocalyptic number.

47445988041 is the 217821-st square number.

47445988041 is the 108911-st centered octagonal number.

It is an amenable number.

47445988041 is a deficient number, since it is larger than the sum of its proper divisors (25372652542).

47445988041 is an frugal number, since it uses more digits than its factorization.

47445988041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8582 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

It can be divided in two parts, 474459 and 88041, that added together give a square (562500 = 7502).

The spelling of 47445988041 in words is "forty-seven billion, four hundred forty-five million, nine hundred eighty-eight thousand, forty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 4271 12813 38439 72607 217821 653463 1234319 3702957 11108871 18241441 54724323 164172969 310104497 930313491 2790940473 5271776449 15815329347 47445988041