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5241955168 = 251731237271
BaseRepresentation
bin1001110000111000…
…11110001101100000
3111112022122220122201
410320130132031200
541213420031133
62224053142544
7243620612062
oct47034361540
914468586581
105241955168
11224aa4655a
12102362aa54
13657015628
1437a285732
1520a2ebd7d
hex13871e360

5241955168 has 144 divisors (see below), whose sum is σ = 11638976832. Its totient is φ = 2314137600.

The previous prime is 5241955157. The next prime is 5241955193. The reversal of 5241955168 is 8615591425.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19342873 + ... + 19343143.

It is an arithmetic number, because the mean of its divisors is an integer number (80826228).

Almost surely, 25241955168 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 5241955168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819488416).

5241955168 is an abundant number, since it is smaller than the sum of its proper divisors (6397021664).

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

5241955168 is a wasteful number, since it uses less digits than its factorization.

5241955168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 358 counting only the distinct ones).

The product of its digits is 432000, while the sum is 46.

The square root of 5241955168 is about 72401.3478327579. The cubic root of 5241955168 is about 1737.1251209791.

The spelling of 5241955168 in words is "five billion, two hundred forty-one million, nine hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 37 62 68 74 124 136 148 248 271 272 296 496 527 542 544 592 629 961 992 1054 1084 1147 1184 1258 1922 2108 2168 2294 2516 3844 4216 4336 4588 4607 5032 7688 8401 8432 8672 9176 9214 10027 10064 15376 16337 16802 16864 18352 18428 19499 20054 20128 30752 32674 33604 35557 36704 36856 38998 40108 65348 67208 71114 73712 77996 80216 130696 134416 142228 142817 147424 155992 160432 170459 260431 261392 268832 284456 285634 310837 311984 320864 340918 520862 522784 568912 571268 604469 621674 623968 681836 1041724 1137824 1142536 1208938 1243348 1363672 2083448 2285072 2417876 2486696 2727344 4166896 4427327 4570144 4835752 4973392 5284229 5454688 8333792 8854654 9635947 9671504 9946784 10568458 17709308 19271894 19343008 21136916 35418616 38543788 42273832 70837232 77087576 84547664 141674464 154175152 163811099 169095328 308350304 327622198 655244396 1310488792 2620977584 5241955168