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47666678929 = 109220032
BaseRepresentation
bin101100011001001001…
…111100110010010001
311120000222021011211221
4230121021330302101
51240110132211204
633521530205041
73305140041262
oct543111746221
9146028234757
1047666678929
1119240663431
1292a3583781
13465852c07c
1424428aa969
15138eae0654
hexb1927cc91

47666678929 has 9 divisors (see below), whose sum is σ = 48132029883. Its totient is φ = 47205790632.

The previous prime is 47666678881. The next prime is 47666678989. The reversal of 47666678929 is 92987666674.

The square root of 47666678929 is 218327.

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., 33223446529 + 14443232400 = 182273^2 + 120180^2 .

It is not a de Polignac number, because 47666678929 - 215 = 47666646161 is a prime.

It is a super-2 number, since 2×476666789292 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47666678989) 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, 23796642 + ... + 23798644.

Almost surely, 247666678929 is an apocalyptic number.

47666678929 is the 218327-th square number.

47666678929 is the 109164-th centered octagonal number.

It is an amenable number.

47666678929 is a deficient number, since it is larger than the sum of its proper divisors (465350954).

47666678929 is an frugal number, since it uses more digits than its factorization.

47666678929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224 (or 2112 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 70.

The spelling of 47666678929 in words is "forty-seven billion, six hundred sixty-six million, six hundred seventy-eight thousand, nine hundred twenty-nine".

Divisors: 1 109 2003 11881 218327 4012009 23797643 437308981 47666678929