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47831002209 = 32729012
BaseRepresentation
bin101100100010111100…
…110010110001100001
311120110102110200000100
4230202330302301201
51240424214032314
633550120213013
73312203545014
oct544274626141
9146412420010
1047831002209
11193153989a1
12932a60a169
1346835a4593
14245a64337b
15139e24dc09
hexb22f32c61

47831002209 has 9 divisors (see below), whose sum is σ = 69090173139. Its totient is φ = 31886897400.

The previous prime is 47831002207. The next prime is 47831002213. The reversal of 47831002209 is 90220013874.

The square root of 47831002209 is 218703.

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., 47828377809 + 2624400 = 218697^2 + 1620^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 47831002209 - 21 = 47831002207 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (47831002207) 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 8 ways as a sum of consecutive naturals, for example, 619659 + ... + 692559.

Almost surely, 247831002209 is an apocalyptic number.

47831002209 is the 218703-rd square number.

47831002209 is the 109352-nd centered octagonal number.

It is an amenable number.

47831002209 is a deficient number, since it is larger than the sum of its proper divisors (21259170930).

47831002209 is an frugal number, since it uses more digits than its factorization.

47831002209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145808 (or 72904 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 47831002209 by its sum of digits (36), we get a square (1721916079524 = 13122182).

The spelling of 47831002209 in words is "forty-seven billion, eight hundred thirty-one million, two thousand, two hundred nine".

Divisors: 1 3 9 72901 218703 656109 5314555801 15943667403 47831002209