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13320253632 = 263718015503
BaseRepresentation
bin11000110011111001…
…01111000011000000
31021101022101222212010
430121330233003000
5204234441104012
610041431132520
7651042200460
oct143174570300
937338358763
1013320253632
115715a32784
1226b8b14140
1313438414aa
149050d1ba0
1552e611c3c
hex319f2f0c0

13320253632 has 112 divisors (see below), whose sum is σ = 40307597312. Its totient is φ = 3802982400.

The previous prime is 13320253621. The next prime is 13320253637. The reversal of 13320253632 is 23635202331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 13320253632.

It is not an unprimeable number, because it can be changed into a prime (13320253637) 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, 2417793 + ... + 2423295.

Almost surely, 213320253632 is an apocalyptic number.

13320253632 is a gapful number since it is divisible by the number (12) 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 13320253632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20153798656).

13320253632 is an abundant number, since it is smaller than the sum of its proper divisors (26987343680).

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

13320253632 is a wasteful number, since it uses less digits than its factorization.

13320253632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7326 (or 7316 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 13320253632 its reverse (23635202331), we get a palindrome (36955455963).

The spelling of 13320253632 in words is "thirteen billion, three hundred twenty million, two hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1801 3602 5403 5503 7204 10806 11006 12607 14408 16509 21612 22012 25214 28816 33018 37821 38521 43224 44024 50428 57632 66036 75642 77042 86448 88048 100856 115264 115563 132072 151284 154084 172896 176096 201712 231126 264144 302568 308168 345792 352192 403424 462252 528288 605136 616336 806848 924504 1056576 1210272 1232672 1849008 2420544 2465344 3698016 7396032 9910903 19821806 29732709 39643612 59465418 69376321 79287224 118930836 138752642 158574448 208128963 237861672 277505284 317148896 416257926 475723344 555010568 634297792 832515852 951446688 1110021136 1665031704 1902893376 2220042272 3330063408 4440084544 6660126816 13320253632