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47122423929 = 3272103372
BaseRepresentation
bin101011111000101101…
…110010000001111001
311111122001011011100100
4223320231302001321
51233001320031204
633351525030013
73255510665100
oct537055620171
9144561134310
1047122423929
1118a9141a609
129171255309
13459c8507a9
1423d04b5037
15135be34a39
hexaf8b72079

47122423929 has 27 divisors (see below), whose sum is σ = 79186155087. Its totient is φ = 26924494464.

The previous prime is 47122423903. The next prime is 47122423949. The reversal of 47122423929 is 92932422174.

The square root of 47122423929 is 217077.

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

47122423929 is a `hidden beast` number, since 4 + 7 + 12 + 242 + 392 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2029052025 + 45093371904 = 45045^2 + 212352^2 .

It is not a de Polignac number, because 47122423929 - 211 = 47122421881 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (47122423949) 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, 4553449 + ... + 4563785.

Almost surely, 247122423929 is an apocalyptic number.

47122423929 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

47122423929 is the 217077-th square number.

47122423929 is the 108539-th centered octagonal number.

It is an amenable number.

47122423929 is a deficient number, since it is larger than the sum of its proper divisors (32063731158).

47122423929 is an frugal number, since it uses more digits than its factorization.

47122423929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20694 (or 10347 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 47122423929 in words is "forty-seven billion, one hundred twenty-two million, four hundred twenty-three thousand, nine hundred twenty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 10337 31011 72359 93033 217077 506513 651231 1519539 4558617 106853569 320560707 747974983 961682121 2243924949 5235824881 6731774847 15707474643 47122423929