Search a number
-
+
6697112542884 = 2234109213192
BaseRepresentation
bin110000101110100101100…
…0000111001111010100100
3212201020102021202221010000
41201131023000321322210
51334211141302333014
622124335552101300
71260564456234321
oct141351300717244
925636367687100
106697112542884
112152258489855
12901b41534830
133976c552b11a
141921db825b48
15b93197cc509
hex6174b039ea4

6697112542884 has 135 divisors (see below), whose sum is σ = 17683075023537. Its totient is φ = 2210213436192.

The previous prime is 6697112542867. The next prime is 6697112542919. The reversal of 6697112542884 is 4882452117966.

It is a happy number.

The square root of 6697112542884 is 2587878.

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

6697112542884 is a `hidden beast` number, since 6 + 6 + 9 + 7 + 1 + 1 + 2 + 542 + 8 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4667855312484 + 2029257230400 = 2160522^2 + 1424520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5077415977 + ... + 5077417295.

Almost surely, 26697112542884 is an apocalyptic number.

6697112542884 is the 2587878-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6697112542884

6697112542884 is an abundant number, since it is smaller than the sum of its proper divisors (10985962480653).

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

6697112542884 is an equidigital number, since it uses as much as digits as its factorization.

6697112542884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 1433 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 6697112542884 in words is "six trillion, six hundred ninety-seven billion, one hundred twelve million, five hundred forty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 981 1308 1319 1962 2638 2943 3924 3957 5276 5886 7914 8829 11772 11871 11881 15828 17658 23742 23762 35316 35613 35643 47484 47524 71226 71286 106839 106929 142452 142572 143771 213678 213858 287542 320787 427356 427716 431313 575084 641574 862626 962361 1283148 1293939 1725252 1739761 1924722 2587878 3479522 3849444 3881817 5175756 5219283 6959044 7763634 10438566 11645451 15527268 15657849 15671039 20877132 23290902 31315698 31342078 46581804 46973547 47013117 62631396 62684156 93947094 94026234 140920641 141039351 187894188 188052468 189633949 281841282 282078702 379267898 423118053 563682564 564157404 568901847 758535796 846236106 1137803694 1269354159 1692472212 1706705541 2275607388 2538708318 3413411082 5077416636 5120116623 6826822164 10240233246 15360349869 20480466492 20670100441 30720699738 41340200882 61441399476 62010301323 82680401764 124020602646 186030903969 248041205292 372061807938 558092711907 744123615876 1116185423814 1674278135721 2232370847628 3348556271442 6697112542884