Search a number
-
+
55948163640408 = 23331319924559701
BaseRepresentation
bin11001011100010011100100…
…11010110110110001011000
321100002120222201102220122000
430232021302122312301120
524313123314342443113
6314554122003201000
714533056436225434
oct1456116232666130
9240076881386560
1055948163640408
111691053489a336
126337166976160
13252ab73732440
14db5c96c479c4
15670517e16373
hex32e2726b6c58

55948163640408 has 64 divisors (see below), whose sum is σ = 167366301496800. Its totient is φ = 17214819580800.

The previous prime is 55948163640323. The next prime is 55948163640431. The reversal of 55948163640408 is 80404636184955.

55948163640408 is a `hidden beast` number, since 5 + 5 + 9 + 4 + 8 + 163 + 64 + 0 + 408 = 666.

55948163640408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×559481636404082 (a number of 28 digits) contains 22 as substring.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 9962277043 + ... + 9962282658.

Almost surely, 255948163640408 is an apocalyptic number.

It is an amenable number.

55948163640408 is an abundant number, since it is smaller than the sum of its proper divisors (111418137856392).

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

55948163640408 is a wasteful number, since it uses less digits than its factorization.

55948163640408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19924559729 (or 19924559719 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 55948163640408 in words is "fifty-five trillion, nine hundred forty-eight billion, one hundred sixty-three million, six hundred forty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 19924559701 39849119402 59773679103 79698238804 119547358206 159396477608 179321037309 239094716412 259019276113 358642074618 478189432824 518038552226 537963111927 717284149236 777057828339 1036077104452 1075926223854 1434568298472 1554115656678 2072154208904 2151852447708 2331173485017 3108231313356 4303704895416 4662346970034 6216462626712 6993520455051 9324693940068 13987040910102 18649387880136 27974081820204 55948163640408