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47289286521 = 3217324192
BaseRepresentation
bin101100000010101010…
…010011111101111001
311112001200010122210100
4230002222103331321
51233322024132041
633420245310013
73262605206001
oct540252237571
9145050118710
1047289286521
1119067629984
1291b9105309
1345c82a4a59
14240870d001
15136b8e56b6
hexb02a93f79

47289286521 has 27 divisors (see below), whose sum is σ = 68868228559. Its totient is φ = 31269152112.

The previous prime is 47289286511. The next prime is 47289286531. The reversal of 47289286521 is 12568298274.

The square root of 47289286521 is 217461.

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

47289286521 is a `hidden beast` number, since 4 + 7 + 28 + 92 + 8 + 6 + 521 = 666.

It is an interprime number because it is at equal distance from previous prime (47289286511) and next prime (47289286531).

It can be written as a sum of positive squares in only one way, i.e., 43016834025 + 4272452496 = 207405^2 + 65364^2 .

It is not a de Polignac number, because 47289286521 - 211 = 47289284473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47289286501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112862050 + ... + 112862468.

Almost surely, 247289286521 is an apocalyptic number.

47289286521 is the 217461-st square number.

47289286521 is the 108731-st centered octagonal number.

It is an amenable number.

47289286521 is a deficient number, since it is larger than the sum of its proper divisors (21578942038).

47289286521 is an frugal number, since it uses more digits than its factorization.

47289286521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 595 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 47289286521 in words is "forty-seven billion, two hundred eighty-nine million, two hundred eighty-six thousand, five hundred twenty-one".

Divisors: 1 3 9 173 419 519 1257 1557 3771 29929 72487 89787 175561 217461 269361 526683 652383 1580049 12540251 30372053 37620753 91116159 112862259 273348477 5254365169 15763095507 47289286521