Search a number
-
+
6690276936 = 23327218110477
BaseRepresentation
bin1100011101100010…
…11000011001001000
3122021020221021121200
412032301120121020
5102200202330221
63023511504200
7324535262400
oct61661303110
918236837550
106690276936
11292353a0a2
121368688060
138280b2665
14476775800
15292539426
hex18ec58648

6690276936 has 144 divisors (see below), whose sum is σ = 21196260540. Its totient is φ = 1900765440.

The previous prime is 6690276851. The next prime is 6690276947. The reversal of 6690276936 is 6396720966.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6415048836 + 275228100 = 80094^2 + 16590^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 633330 + ... + 643806.

Almost surely, 26690276936 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 6690276936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10598130270).

6690276936 is an abundant number, since it is smaller than the sum of its proper divisors (14505983604).

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

6690276936 is a wasteful number, since it uses less digits than its factorization.

6690276936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10684 (or 10670 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 6690276936 is about 81794.1130889015. The cubic root of 6690276936 is about 1884.2912514416.

The spelling of 6690276936 in words is "six billion, six hundred ninety million, two hundred seventy-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 181 196 252 294 362 392 441 504 543 588 724 882 1086 1176 1267 1448 1629 1764 2172 2534 3258 3528 3801 4344 5068 6516 7602 8869 10136 10477 11403 13032 15204 17738 20954 22806 26607 30408 31431 35476 41908 45612 53214 62862 70952 73339 79821 83816 91224 94293 106428 125724 146678 159642 188586 212856 220017 251448 293356 319284 377172 440034 513373 586712 638568 660051 754344 880068 1026746 1320102 1540119 1760136 1896337 2053492 2640204 3080238 3792674 4106984 4620357 5280408 5689011 6160476 7585348 9240714 11378022 12320952 13274359 15170696 17067033 18481428 22756044 26548718 34134066 36962856 39823077 45512088 53097436 68268132 79646154 92920513 106194872 119469231 136536264 159292308 185841026 238938462 278761539 318584616 371682052 477876924 557523078 743364104 836284617 955753848 1115046156 1672569234 2230092312 3345138468 6690276936