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13522750720 = 2855323761
BaseRepresentation
bin11001001100000010…
…01100110100000000
31021220102102220122021
430212001030310000
5210143311010340
610113503251224
7656051325133
oct144601146400
937812386567
1013522750720
11580a270846
1227548a9b14
13137679125b
14923d6421a
155422b0e4a
hex32604cd00

13522750720 has 108 divisors (see below), whose sum is σ = 33022677996. Its totient is φ = 5305630720.

The previous prime is 13522750693. The next prime is 13522750723. The reversal of 13522750720 is 2705722531.

It can be written as a sum of positive squares in 6 ways, for example, as 229583104 + 13293167616 = 15152^2 + 115296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13522750723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3593640 + ... + 3597400.

It is an arithmetic number, because the mean of its divisors is an integer number (305765537).

Almost surely, 213522750720 is an apocalyptic number.

13522750720 is a gapful number since it is divisible by the number (10) 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 13522750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511338998).

13522750720 is an abundant number, since it is smaller than the sum of its proper divisors (19499927276).

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

13522750720 is an frugal number, since it uses more digits than its factorization.

13522750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The spelling of 13522750720 in words is "thirteen billion, five hundred twenty-two million, seven hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 530 640 848 1060 1280 1696 2120 2809 3392 3761 4240 5618 6784 7522 8480 11236 13568 14045 15044 16960 18805 22472 28090 30088 33920 37610 44944 56180 60176 67840 75220 89888 112360 120352 150440 179776 199333 224720 240704 300880 359552 398666 449440 481408 601760 719104 797332 898880 962816 996665 1203520 1594664 1797760 1993330 2407040 3189328 3595520 3986660 4814080 6378656 7973320 10564649 12757312 15946640 21129298 25514624 31893280 42258596 51029248 52823245 63786560 84517192 105646490 127573120 169034384 211292980 255146240 338068768 422585960 676137536 845171920 1352275072 1690343840 2704550144 3380687680 6761375360 13522750720