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13265352446464 = 29172237681293
BaseRepresentation
bin1100000100001001010010…
…0111101101001000000000
31201222011012012221110202001
43001002110213231020000
53214314420211241324
644114004020233344
72536250541234316
oct301022447551000
951864165843661
1013265352446464
1142548936a1228
1215a2ab783b854
13752bc05c4c51
1433c0917a40b6
151800e01d3e44
hexc10949ed200

13265352446464 has 80 divisors (see below), whose sum is σ = 28076488188408. Its totient is φ = 6239719063552.

The previous prime is 13265352446449. The next prime is 13265352446471. The reversal of 13265352446464 is 46464425356231.

It can be written as a sum of positive squares in 4 ways, for example, as 11836352160000 + 1429000286464 = 3440400^2 + 1195408^2 .

It is a super-2 number, since 2×132653524464642 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19130202 + ... + 19811494.

Almost surely, 213265352446464 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 13265352446464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14038244094204).

13265352446464 is an abundant number, since it is smaller than the sum of its proper divisors (14811135741944).

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

13265352446464 is an equidigital number, since it uses as much as digits as its factorization.

13265352446464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683565 (or 683549 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 55.

The spelling of 13265352446464 in words is "thirteen trillion, two hundred sixty-five billion, three hundred fifty-two million, four hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 2237 4352 4474 8704 8948 17896 35792 38029 71584 76058 143168 152116 286336 304232 572672 608464 681293 1145344 1216928 1362586 2433856 2725172 4867712 5450344 9735424 10900688 11581981 19470848 21801376 23163962 43602752 46327924 87205504 92655848 174411008 185311696 348822016 370623392 741246784 1482493568 1524052441 2964987136 3048104882 5929974272 6096209764 12192419528 24384839056 25908891497 48769678112 51817782994 97539356224 103635565988 195078712448 207271131976 390157424896 414542263952 780314849792 829084527904 1658169055808 3316338111616 6632676223232 13265352446464