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472455264216137 = 1753737183118669
BaseRepresentation
bin110101101101100100001000…
…0001100100010010001001001
32021221211021121200200011111012
41223123020100030202101021
5443411201340114404022
64352454541351413305
7201341523611036216
oct15333102014422111
92257737550604435
10472455264216137
111275a21748484a4
1244ba4bb4084235
13173814566a4a57
148494d57650b0d
1539949a40d7de2
hex1adb210322449

472455264216137 has 16 divisors (see below), whose sum is σ = 516667359695760. Its totient is φ = 430297540687872.

The previous prime is 472455264216109. The next prime is 472455264216181. The reversal of 472455264216137 is 731612462554274.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3521912808976 + 468933351407161 = 1876676^2 + 21654869^2 .

It is a cyclic number.

It is not a de Polignac number, because 472455264216137 - 238 = 472180386309193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (472455264216437) 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 15 ways as a sum of consecutive naturals, for example, 3591493562 + ... + 3591625107.

It is an arithmetic number, because the mean of its divisors is an integer number (32291709980985).

Almost surely, 2472455264216137 is an apocalyptic number.

It is an amenable number.

472455264216137 is a deficient number, since it is larger than the sum of its proper divisors (44212095479623).

472455264216137 is a wasteful number, since it uses less digits than its factorization.

472455264216137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7183118812.

The product of its digits is 67737600, while the sum is 59.

The spelling of 472455264216137 in words is "four hundred seventy-two trillion, four hundred fifty-five billion, two hundred sixty-four million, two hundred sixteen thousand, one hundred thirty-seven".

Divisors: 1 17 53 73 901 1241 3869 65773 7183118669 122113017373 380705289457 524367662837 6471989920769 8914250268229 27791486130361 472455264216137