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4946168241 = 32721721972
BaseRepresentation
bin1001001101101000…
…01000100110110001
3110202201002101021100
410212310020212301
540112204340431
62134445315013
7233366510400
oct44664104661
913681071240
104946168241
112108a8a453
12b60565a69
1360a961391
1434cc8b637
151de3714e6
hex126d089b1

4946168241 has 81 divisors (see below), whose sum is σ = 8873585409. Its totient is φ = 2646620928.

The previous prime is 4946168219. The next prime is 4946168243. The reversal of 4946168241 is 1428616494.

The square root of 4946168241 is 70329.

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

4946168241 is a `hidden beast` number, since 4 + 9 + 4 + 616 + 8 + 24 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3217271841 + 1728896400 = 56721^2 + 41580^2 .

It is not a de Polignac number, because 4946168241 - 213 = 4946160049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4946168243) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25107355 + ... + 25107551.

Almost surely, 24946168241 is an apocalyptic number.

4946168241 is the 70329-th square number.

4946168241 is the 35165-th centered octagonal number.

It is an amenable number.

4946168241 is a deficient number, since it is larger than the sum of its proper divisors (3927417168).

4946168241 is a wasteful number, since it uses less digits than its factorization.

4946168241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 224 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The cubic root of 4946168241 is about 1703.8170563780.

The spelling of 4946168241 in words is "four billion, nine hundred forty-six million, one hundred sixty-eight thousand, two hundred forty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 197 289 357 441 591 833 867 1071 1379 1773 2023 2499 2601 3349 4137 6069 7497 9653 10047 12411 14161 18207 23443 28959 30141 38809 42483 56933 70329 86877 116427 127449 164101 170799 210987 271663 349281 398531 492303 512397 659753 814989 1195593 1476909 1901641 1979259 2444967 2789717 3586779 4618271 5704923 5937777 8369151 11215801 13854813 17114769 25107453 32327897 33647403 41564439 78510607 96983691 100942209 235531821 290951073 549574249 706595463 1648722747 4946168241