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47384147041 = 721142572
BaseRepresentation
bin101100001000010100…
…001011010001100001
311112022021122001221221
4230020110023101201
51234020320201131
633433514415041
73265136414200
oct541024132141
9145267561857
1047384147041
1119106130000
129224a31481
134611b3913a
142417163237
151374dd2411
hexb0850b461

47384147041 has 45 divisors (see below), whose sum is σ = 60868831395. Its totient is φ = 36779043840.

The previous prime is 47384147033. The next prime is 47384147047. The reversal of 47384147041 is 14074148374.

The square root of 47384147041 is 217679.

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

It can be written as a sum of positive squares in only one way, i.e., 46649520225 + 734626816 = 215985^2 + 27104^2 .

It is not a de Polignac number, because 47384147041 - 23 = 47384147033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47384147047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 184373985 + ... + 184374241.

Almost surely, 247384147041 is an apocalyptic number.

47384147041 is the 217679-th square number.

47384147041 is the 108840-th centered octagonal number.

It is an amenable number.

47384147041 is a deficient number, since it is larger than the sum of its proper divisors (13484684354).

47384147041 is an frugal number, since it uses more digits than its factorization.

47384147041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 43.

The spelling of 47384147041 in words is "forty-seven billion, three hundred eighty-four million, one hundred forty-seven thousand, forty-one".

Divisors: 1 7 11 49 77 121 257 539 847 1331 1799 2827 5929 9317 12593 14641 19789 31097 65219 66049 102487 138523 217679 342067 462343 717409 726539 1523753 2394469 3236401 3762737 5085773 7991929 16761283 26339159 35600411 55943503 87911219 184374113 391604521 615378533 967023409 4307649731 6769163863 47384147041