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47666073141117 = 3210985735667709
BaseRepresentation
bin10101101011010000111110…
…10110110111111101111101
320020202211110121000101100200
422311220133112313331331
522221430104211003432
6245213254112514113
713016521504433364
oct1265503726677575
9206684417011320
1047666073141117
11142080826aa862
12541a00754b939
132079b785749a2
14bab09bc567db
15579d85c70a7c
hex2b5a1f5b7f7d

47666073141117 has 24 divisors (see below), whose sum is σ = 69490772122200. Its totient is φ = 31482168248448.

The previous prime is 47666073141097. The next prime is 47666073141131. The reversal of 47666073141117 is 71114137066674.

It can be written as a sum of positive squares in 4 ways, for example, as 1581987888441 + 46084085252676 = 1257771^2 + 6788526^2 .

It is not a de Polignac number, because 47666073141117 - 26 = 47666073141053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47666073141517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5576259 + ... + 11243967.

It is an arithmetic number, because the mean of its divisors is an integer number (2895448838425).

Almost surely, 247666073141117 is an apocalyptic number.

It is an amenable number.

47666073141117 is a deficient number, since it is larger than the sum of its proper divisors (21824698981083).

47666073141117 is a wasteful number, since it uses less digits than its factorization.

47666073141117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676397 (or 5676394 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 47666073141117 in words is "forty-seven trillion, six hundred sixty-six billion, seventy-three million, one hundred forty-one thousand, one hundred seventeen".

Divisors: 1 3 9 109 327 981 8573 25719 77157 934457 2803371 5667709 8410113 17003127 51009381 617780281 1853340843 5560022529 48589269257 145767807771 437303423313 5296230349013 15888691047039 47666073141117