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47400952257 = 3230491727377
BaseRepresentation
bin101100001001010100…
…010010000111000001
311112100110020212101100
4230021110102013001
51234034120433012
633435314525013
73265432306041
oct541124220701
9145313225340
1047400952257
111911466900a
12922a596769
134615471359
142419499721
1513766018dc
hexb095121c1

47400952257 has 12 divisors (see below), whose sum is σ = 68490537700. Its totient is φ = 31590252288.

The previous prime is 47400952237. The next prime is 47400952283. The reversal of 47400952257 is 75225900474.

47400952257 is a `hidden beast` number, since 4 + 74 + 0 + 0 + 9 + 522 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9525564801 + 37875387456 = 97599^2 + 194616^2 .

It is not a de Polignac number, because 47400952257 - 211 = 47400950209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47400952237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 836248 + ... + 891129.

Almost surely, 247400952257 is an apocalyptic number.

It is an amenable number.

47400952257 is a deficient number, since it is larger than the sum of its proper divisors (21089585443).

47400952257 is a wasteful number, since it uses less digits than its factorization.

47400952257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730432 (or 1730429 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 47400952257 in words is "forty-seven billion, four hundred million, nine hundred fifty-two thousand, two hundred fifty-seven".

Divisors: 1 3 9 3049 9147 27441 1727377 5182131 15546393 5266772473 15800317419 47400952257