Search a number
-
+
247046053401 = 32718012177327
BaseRepresentation
bin1110011000010100010…
…1111001111000011001
3212121200001201211011200
43212011011321320121
513021422242202101
6305254050144413
723564013543360
oct3460505717031
9777601654150
10247046053401
1195854069474
123ba67282109
131a3b10b05b4
14bd583967d7
15665d820986
hex3985179e19

247046053401 has 24 divisors (see below), whose sum is σ = 408048685824. Its totient is φ = 141090724800.

The previous prime is 247046053381. The next prime is 247046053427. The reversal of 247046053401 is 104350640742.

247046053401 is a `hidden beast` number, since 2 + 4 + 7 + 0 + 4 + 605 + 3 + 40 + 1 = 666.

247046053401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 247046053401 - 217 = 247045922329 is a prime.

It is a super-2 number, since 2×2470460534012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (247046053301) 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 23 ways as a sum of consecutive naturals, for example, 975201 + ... + 1202126.

It is an arithmetic number, because the mean of its divisors is an integer number (17002028576).

Almost surely, 2247046053401 is an apocalyptic number.

247046053401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

247046053401 is a deficient number, since it is larger than the sum of its proper divisors (161002632423).

247046053401 is a wasteful number, since it uses less digits than its factorization.

247046053401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179141 (or 2179138 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 247046053401 in words is "two hundred forty-seven billion, forty-six million, fifty-three thousand, four hundred one".

Divisors: 1 3 7 9 21 63 1801 5403 12607 16209 37821 113463 2177327 6531981 15241289 19595943 45723867 137171601 3921365927 11764097781 27449561489 35292293343 82348684467 247046053401