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6540223512 = 23323312291669
BaseRepresentation
bin1100001011101001…
…11110010000011000
3121212210120210000110
412011310332100120
5101343244123022
63000551404320
7321033661014
oct60564762030
917783523013
106540223512
1128568707a9
1213263836a0
13802c95354
14460875544
1528429900c
hex185d3e418

6540223512 has 128 divisors (see below), whose sum is σ = 17699328000. Its totient is φ = 2008005120.

The previous prime is 6540223511. The next prime is 6540223523. The reversal of 6540223512 is 2153220456.

It is a super-2 number, since 2×65402235122 = 85549047173835228288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6540223512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6540223511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3917814 + ... + 3919482.

It is an arithmetic number, because the mean of its divisors is an integer number (138276000).

Almost surely, 26540223512 is an apocalyptic number.

6540223512 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6540223512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8849664000).

6540223512 is an abundant number, since it is smaller than the sum of its proper divisors (11159104488).

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

6540223512 is a wasteful number, since it uses less digits than its factorization.

6540223512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 6540223512 is about 80871.6483818650. The cubic root of 6540223512 is about 1870.0972727194.

Adding to 6540223512 its reverse (2153220456), we get a palindrome (8693443968).

The spelling of 6540223512 in words is "six billion, five hundred forty million, two hundred twenty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 229 248 276 372 458 552 687 713 744 916 1374 1426 1669 1832 2139 2748 2852 3338 4278 5007 5267 5496 5704 6676 7099 8556 10014 10534 13352 14198 15801 17112 20028 21068 21297 28396 31602 38387 40056 42136 42594 51739 56792 63204 76774 85188 103478 115161 126408 153548 155217 163277 170376 206956 230322 307096 310434 326554 382201 413912 460644 489831 620868 653108 764402 921288 979662 1146603 1189997 1241736 1306216 1528804 1959324 2293206 2379994 3057608 3569991 3918648 4586412 4759988 7139982 8790623 9172824 9519976 11848231 14279964 17581246 23696462 26371869 28559928 35162492 35544693 47392924 52743738 70324984 71089386 94785848 105487476 142178772 210974952 272509313 284357544 545018626 817527939 1090037252 1635055878 2180074504 3270111756 6540223512