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13343981568 = 2163671013
BaseRepresentation
bin11000110110101110…
…10000000000000000
31021102222001111110120
430123113100000000
5204312024402233
610044035500240
7651450654231
oct143327200000
937388044416
1013343981568
115728369945
122704a57680
13134872b6a8
1490830b088
1553174c4b3
hex31b5d0000

13343981568 has 136 divisors (see below), whose sum is σ = 36150430368. Its totient is φ = 4377280512.

The previous prime is 13343981489. The next prime is 13343981569. The reversal of 13343981568 is 86518934331.

It is a self number, because there is not a number n which added to its sum of digits gives 13343981568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13343981569) 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 7 ways as a sum of consecutive naturals, for example, 13172230 + ... + 13173242.

It is an arithmetic number, because the mean of its divisors is an integer number (265811988).

Almost surely, 213343981568 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 13343981568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18075215184).

13343981568 is an abundant number, since it is smaller than the sum of its proper divisors (22806448800).

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

13343981568 is an frugal number, since it uses more digits than its factorization.

13343981568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1085 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The spelling of 13343981568 in words is "thirteen billion, three hundred forty-three million, nine hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 512 536 768 804 1013 1024 1072 1536 1608 2026 2048 2144 3039 3072 3216 4052 4096 4288 6078 6144 6432 8104 8192 8576 12156 12288 12864 16208 16384 17152 24312 24576 25728 32416 32768 34304 48624 49152 51456 64832 65536 67871 68608 97248 98304 102912 129664 135742 137216 194496 196608 203613 205824 259328 271484 274432 388992 407226 411648 518656 542968 548864 777984 814452 823296 1037312 1085936 1097728 1555968 1628904 1646592 2074624 2171872 2195456 3111936 3257808 3293184 4149248 4343744 4390912 6223872 6515616 6586368 8298496 8687488 12447744 13031232 13172736 16596992 17374976 24895488 26062464 33193984 34749952 49790976 52124928 66387968 69499904 99581952 104249856 138999808 199163904 208499712 277999616 416999424 555999232 833998848 1111998464 1667997696 2223996928 3335995392 4447993856 6671990784 13343981568