Search a number
-
+
6919986438 = 2332947149631
BaseRepresentation
bin1100111000111011…
…01001110100000110
3122212021011201211000
412130131221310012
5103133004031223
63102355154130
7333324625401
oct63435516406
918767151730
106919986438
112a31174262
1214115a5946
1386386c641
1449908cd38
152a77b1543
hex19c769d06

6919986438 has 128 divisors (see below), whose sum is σ = 16381440000. Its totient is φ = 2161676160.

The previous prime is 6919986419. The next prime is 6919986481. The reversal of 6919986438 is 8346899196.

It is a happy number.

6919986438 is a `hidden beast` number, since 6 + 9 + 199 + 8 + 6 + 438 = 666.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10966383 + ... + 10967013.

It is an arithmetic number, because the mean of its divisors is an integer number (127980000).

Almost surely, 26919986438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6919986438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190720000).

6919986438 is an abundant number, since it is smaller than the sum of its proper divisors (9461453562).

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

6919986438 is a wasteful number, since it uses less digits than its factorization.

6919986438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 861 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The square root of 6919986438 is about 83186.4558567078. The cubic root of 6919986438 is about 1905.6146420161.

The spelling of 6919986438 in words is "six billion, nine hundred nineteen million, nine hundred eighty-six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 29 47 54 58 87 94 141 149 174 261 282 298 423 447 522 631 783 846 894 1262 1269 1341 1363 1566 1893 2538 2682 2726 3786 4023 4089 4321 5679 7003 8046 8178 8642 11358 12267 12963 14006 17037 18299 21009 24534 25926 29657 34074 36598 36801 38889 42018 54897 59314 63027 73602 77778 88971 94019 109794 116667 126054 164691 177942 188038 189081 203087 233334 266913 282057 329382 378162 406174 494073 533826 564114 609261 800739 846171 860053 988146 1218522 1601478 1692342 1720106 1827783 2538513 2580159 2726551 3655566 4418893 5077026 5160318 5453102 5483349 7740477 8179653 8837786 10966698 13256679 15480954 16359306 23221431 24538959 26513358 39770037 46442862 49077918 73616877 79540074 119310111 128147897 147233754 238620222 256295794 384443691 768887382 1153331073 2306662146 3459993219 6919986438