Search a number
-
+
327313293056 = 2819443151903
BaseRepresentation
bin1001100001101010110…
…01000111111100000000
31011021212000201002001122
410300311121013330000
520330314200334211
6410210551451412
732435062041341
oct4606531077400
91137760632048
10327313293056
111168a3903672
1253528686b68
1324b336b2989
1411bb08180c8
1587aa4cb6db
hex4c35647f00

327313293056 has 72 divisors (see below), whose sum is σ = 689291742720. Its totient is φ = 154692135936.

The previous prime is 327313293053. The next prime is 327313293059. The reversal of 327313293056 is 650392313723.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (327313293053) and next prime (327313293059).

It is a super-2 number, since 2×3273132930562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 327313292998 and 327313293016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327313293053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2078801 + ... + 2230703.

Almost surely, 2327313293056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327313293056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344645871360).

327313293056 is an abundant number, since it is smaller than the sum of its proper divisors (361978449664).

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

327313293056 is a wasteful number, since it uses less digits than its factorization.

327313293056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152381 (or 152367 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 44.

The spelling of 327313293056 in words is "three hundred twenty-seven billion, three hundred thirteen million, two hundred ninety-three thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 443 608 886 1216 1772 2432 3544 4864 7088 8417 14176 16834 28352 33668 56704 67336 113408 134672 151903 269344 303806 538688 607612 1077376 1215224 2154752 2430448 2886157 4860896 5772314 9721792 11544628 19443584 23089256 38887168 46178512 67293029 92357024 134586058 184714048 269172116 369428096 538344232 738856192 1076688464 1278567551 2153376928 2557135102 4306753856 5114270204 8613507712 10228540408 17227015424 20457080816 40914161632 81828323264 163656646528 327313293056