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13052643132960 = 253259064335509
BaseRepresentation
bin1011110111110000111000…
…1010000100011000100000
31201012211011010211202200200
42331330032022010120200
53202323303120223320
643432145041345200
72515010444012214
oct275741612043040
951184133752620
1013052643132960
11418265a848752
121569833938200
13738b221c0932
14331a737c4944
151797e10cc290
hexbdf0e284620

13052643132960 has 72 divisors (see below), whose sum is σ = 44542144696140. Its totient is φ = 3480704835072.

The previous prime is 13052643132953. The next prime is 13052643133039. The reversal of 13052643132960 is 6923134625031.

13052643132960 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 264 + 3 + 1 + 329 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11956961757456 + 1095681375504 = 3457884^2 + 1046748^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4532166315 + ... + 4532169194.

Almost surely, 213052643132960 is an apocalyptic number.

13052643132960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13052643132960 is an abundant number, since it is smaller than the sum of its proper divisors (31489501563180).

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

13052643132960 is a wasteful number, since it uses less digits than its factorization.

13052643132960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9064335530 (or 9064335519 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

Adding to 13052643132960 its reverse (6923134625031), we get a palindrome (19975777757991).

The spelling of 13052643132960 in words is "thirteen trillion, fifty-two billion, six hundred forty-three million, one hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9064335509 18128671018 27193006527 36257342036 45321677545 54386013054 72514684072 81579019581 90643355090 108772026108 135965032635 145029368144 163158039162 181286710180 217544052216 271930065270 290058736288 326316078324 362573420360 407895097905 435088104432 543860130540 652632156648 725146840720 815790195810 870176208864 1087720261080 1305264313296 1450293681440 1631580391620 2175440522160 2610528626592 3263160783240 4350881044320 6526321566480 13052643132960