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6631616112 = 2431126946691
BaseRepresentation
bin1100010110100011…
…00110111001110000
3122010011120000002120
412023101212321300
5102040143203422
63014014314240
7323223543522
oct61321467160
918104500076
106631616112
1128a3413380
121350ab8980
13818bb4104
1446ca65a12
1528c2ed45c
hex18b466e70

6631616112 has 80 divisors (see below), whose sum is σ = 18758977920. Its totient is φ = 2002067200.

The previous prime is 6631616111. The next prime is 6631616119. The reversal of 6631616112 is 2116161366.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6631616111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118687 + ... + 165377.

It is an arithmetic number, because the mean of its divisors is an integer number (234487224).

Almost surely, 26631616112 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 6631616112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9379488960).

6631616112 is an abundant number, since it is smaller than the sum of its proper divisors (12127361808).

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

6631616112 is a wasteful number, since it uses less digits than its factorization.

6631616112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46982 (or 46976 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 6631616112 is about 81434.7352915204. The cubic root of 6631616112 is about 1878.7678768326.

Adding to 6631616112 its reverse (2116161366), we get a palindrome (8747777478).

It can be divided in two parts, 66316 and 16112, that added together give a palindrome (82428).

The spelling of 6631616112 in words is "six billion, six hundred thirty-one million, six hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 269 528 538 807 1076 1614 2152 2959 3228 4304 5918 6456 8877 11836 12912 17754 23672 35508 46691 47344 71016 93382 140073 142032 186764 280146 373528 513601 560292 747056 1027202 1120584 1540803 2054404 2241168 3081606 4108808 6163212 8217616 12326424 12559879 24652848 25119758 37679637 50239516 75359274 100479032 138158669 150718548 200958064 276317338 301437096 414476007 552634676 602874192 828952014 1105269352 1657904028 2210538704 3315808056 6631616112