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47000144048148 = 22325022372599489
BaseRepresentation
bin10101010111111000100101…
…11000111111000000010100
320011102011120211221101121100
422223330102320333000110
522130022243334020043
6243543322413150100
712620435245514334
oct1253742270770024
9204364524841540
1047000144048148
1113a80716029975
125330b3918b330
13202c12c9b9b85
14b86b678cb0c4
155678acdc1cd3
hex2abf12e3f014

47000144048148 has 36 divisors (see below), whose sum is σ = 118806201934420. Its totient is φ = 15666677462016.

The previous prime is 47000144048147. The next prime is 47000144048161. The reversal of 47000144048148 is 84184044100074.

47000144048148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37246340468484 + 9753803579664 = 6102978^2 + 3123108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47000144048147) 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 11 ways as a sum of consecutive naturals, for example, 16780788 + ... + 19380276.

Almost surely, 247000144048148 is an apocalyptic number.

It is an amenable number.

47000144048148 is an abundant number, since it is smaller than the sum of its proper divisors (71806057886272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47000144048148 is a wasteful number, since it uses less digits than its factorization.

47000144048148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101736 (or 3101731 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 47000144048148 in words is "forty-seven trillion, one hundred forty-four million, forty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 502237 1004474 1506711 2008948 2599489 3013422 4520133 5198978 6026844 7798467 9040266 10397956 15596934 18080532 23395401 31193868 46790802 93581604 1305559556893 2611119113786 3916678670679 5222238227572 7833357341358 11750036012037 15666714682716 23500072024074 47000144048148