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13743895344 = 2431725765537
BaseRepresentation
bin11001100110011001…
…10011001100110000
31022110211120020000220
430303030303030300
5211121414122334
610151443213040
7664405116504
oct146314631460
938424506026
1013743895344
115913085aa3
1227b6977180
1313b053c96a
1494548c304
155568e5449
hex333333330

13743895344 has 80 divisors (see below), whose sum is σ = 37740450528. Its totient is φ = 4294967296.

The previous prime is 13743895303. The next prime is 13743895357. The reversal of 13743895344 is 44359834731.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is an unprimeable number.

In principle, a polygon with 13743895344 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176944 + ... + 242480.

Almost surely, 213743895344 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 13743895344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18870225264).

13743895344 is an abundant number, since it is smaller than the sum of its proper divisors (23996555184).

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

13743895344 is a wasteful number, since it uses less digits than its factorization.

13743895344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65822 (or 65816 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The spelling of 13743895344 in words is "thirteen billion, seven hundred forty-three million, eight hundred ninety-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 257 272 408 514 771 816 1028 1542 2056 3084 4112 4369 6168 8738 12336 13107 17476 26214 34952 52428 65537 69904 104856 131074 196611 209712 262148 393222 524296 786444 1048592 1114129 1572888 2228258 3145776 3342387 4456516 6684774 8913032 13369548 16843009 17826064 26739096 33686018 50529027 53478192 67372036 101058054 134744072 202116108 269488144 286331153 404232216 572662306 808464432 858993459 1145324612 1717986918 2290649224 3435973836 4581298448 6871947672 13743895344