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383117671225 = 5279215672
BaseRepresentation
bin1011001001100111001…
…01111011101100111001
31100121220010111012122201
411210303211323230321
522234111110434400
6452000221150201
736452004321412
oct5446345735471
91317803435581
10383117671225
1113852aa34973
12623013bb361
132a187b37ba3
1414785d94809
159e7471706a
hex593397bb39

383117671225 has 27 divisors (see below), whose sum is σ = 481462776207. Its totient is φ = 302421347280.

The previous prime is 383117671213. The next prime is 383117671273. The reversal of 383117671225 is 522176711383.

The square root of 383117671225 is 618965.

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

It can be written as a sum of positive squares in only one way, i.e., 137922361641 + 245195309584 = 371379^2 + 495172^2 .

It is not a de Polignac number, because 383117671225 - 233 = 374527736633 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 244490392 + ... + 244491958.

Almost surely, 2383117671225 is an apocalyptic number.

383117671225 is the 618965-th square number.

383117671225 is the 309483-rd centered octagonal number.

It is an amenable number.

383117671225 is a deficient number, since it is larger than the sum of its proper divisors (98345104982).

383117671225 is an frugal number, since it uses more digits than its factorization.

383117671225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 1651 counting only the distinct ones).

The product of its digits is 423360, while the sum is 46.

The spelling of 383117671225 in words is "three hundred eighty-three billion, one hundred seventeen million, six hundred seventy-one thousand, two hundred twenty-five".

Divisors: 1 5 25 79 395 1567 1975 6241 7835 31205 39175 123793 156025 618965 2455489 3094825 9779647 12277445 48898235 61387225 193983631 244491175 969918155 4849590775 15324706849 76623534245 383117671225