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47189307361 = 72310332
BaseRepresentation
bin101011111100101100…
…111010111111100001
311111210201000012011111
4223330230322333201
51233120430313421
633402314343321
73260252331400
oct537454727741
9144721005144
1047189307361
1119016152079
12918b72ab41
1345b066a8a1
1423d9325637
151362c46ee1
hexafcb3afe1

47189307361 has 9 divisors (see below), whose sum is σ = 54895453011. Its totient is φ = 40446674352.

The previous prime is 47189307331. The next prime is 47189307367. The reversal of 47189307361 is 16370398174.

The square root of 47189307361 is 217231.

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., 31650189025 + 15539118336 = 177905^2 + 124656^2 .

It is not a de Polignac number, because 47189307361 - 29 = 47189306849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (47189307367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1505101 + ... + 1536133.

It is an arithmetic number, because the mean of its divisors is an integer number (6099494779).

Almost surely, 247189307361 is an apocalyptic number.

47189307361 is the 217231-st square number.

47189307361 is the 108616-th centered octagonal number.

It is an amenable number.

47189307361 is a deficient number, since it is larger than the sum of its proper divisors (7706145650).

47189307361 is an frugal number, since it uses more digits than its factorization.

47189307361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62080 (or 31040 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

Multiplying 47189307361 by its sum of digits (49), we get a square (2312276060689 = 15206172).

47189307361 divided by its sum of digits (49) gives a square (963047089 = 310332).

The spelling of 47189307361 in words is "forty-seven billion, one hundred eighty-nine million, three hundred seven thousand, three hundred sixty-one".

Divisors: 1 7 49 31033 217231 1520617 963047089 6741329623 47189307361