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47231894241 = 32727921312
BaseRepresentation
bin101011111111001111…
…011000001011100001
311111220200010211101100
4223333033120023201
51233212331103431
633410435225013
73261310322400
oct537717301341
9144820124340
1047231894241
111903819a244
1291a1a48169
1345b942ba1c
142400c4d637
15136685a4e6
hexaff3d82e1

47231894241 has 81 divisors (see below), whose sum is σ = 80998008273. Its totient is φ = 26444592720.

The previous prime is 47231894209. The next prime is 47231894251. The reversal of 47231894241 is 14249813274.

The square root of 47231894241 is 217329.

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

47231894241 is a `hidden beast` number, since 4 + 7 + 2 + 318 + 94 + 241 = 666.

It is not a de Polignac number, because 47231894241 - 25 = 47231894209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (47231894251) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 360548746 + ... + 360548876.

Almost surely, 247231894241 is an apocalyptic number.

47231894241 is the 217329-th square number.

47231894241 is the 108665-th centered octagonal number.

It is an amenable number.

47231894241 is a deficient number, since it is larger than the sum of its proper divisors (33766114032).

47231894241 is an equidigital number, since it uses as much as digits as its factorization.

47231894241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 220 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 47231894241 in words is "forty-seven billion, two hundred thirty-one million, eight hundred ninety-four thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 49 63 79 131 147 237 393 441 553 711 917 1179 1659 2751 3871 4977 6241 6419 8253 10349 11613 17161 18723 19257 31047 34839 43687 51483 56169 57771 72443 93141 120127 131061 154449 217329 305809 360381 393183 507101 651987 817571 840889 917427 1081143 1355719 1521303 2452713 2522667 2752281 4067157 4563909 5722997 7358139 7568001 9490033 12201471 17168991 28470099 40060979 51506973 66430231 85410297 107101801 120182937 199290693 321305403 360548811 597872079 749712607 963916209 2249137821 5247988249 6747413463 15743964747 47231894241