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13534537344 = 273101934589
BaseRepresentation
bin11001001101011100…
…01010011010000000
31021221020121201211220
430212232022122000
5210204320143334
610115004035040
7656253445356
oct144656123200
937836551756
1013534537344
115815991259
122758832a80
13137905a0a3
149257517d6
1554333d449
hex326b8a680

13534537344 has 64 divisors (see below), whose sum is σ = 35987436000. Its totient is φ = 4506954752.

The previous prime is 13534537339. The next prime is 13534537459. The reversal of 13534537344 is 44373543531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×135345373442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13534537296 and 13534537305.

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, 374002 + ... + 408590.

Almost surely, 213534537344 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 13534537344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17993718000).

13534537344 is an abundant number, since it is smaller than the sum of its proper divisors (22452898656).

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

13534537344 is a wasteful number, since it uses less digits than its factorization.

13534537344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35625 (or 35613 counting only the distinct ones).

The product of its digits is 907200, while the sum is 42.

The spelling of 13534537344 in words is "thirteen billion, five hundred thirty-four million, five hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1019 2038 3057 4076 6114 8152 12228 16304 24456 32608 34589 48912 65216 69178 97824 103767 130432 138356 195648 207534 276712 391296 415068 553424 830136 1106848 1660272 2213696 3320544 4427392 6641088 13282176 35246191 70492382 105738573 140984764 211477146 281969528 422954292 563939056 845908584 1127878112 1691817168 2255756224 3383634336 4511512448 6767268672 13534537344