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13748701356 = 2232131011811607
BaseRepresentation
bin11001100110111110…
…01000100010101100
31022111011121101122100
430303133020202230
5211124131420411
610152134215100
7664464014265
oct146337104254
938434541570
1013748701356
115915868905
1227b84b4490
1313b1533360
14945d7d96c
15557044456
hex3337c88ac

13748701356 has 144 divisors (see below), whose sum is σ = 38030061888. Its totient is φ = 4162752000.

The previous prime is 13748701319. The next prime is 13748701381. The reversal of 13748701356 is 65310784731.

13748701356 is a `hidden beast` number, since 1 + 37 + 487 + 0 + 135 + 6 = 666.

13748701356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8554705 + ... + 8556311.

It is an arithmetic number, because the mean of its divisors is an integer number (264097652).

Almost surely, 213748701356 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 13748701356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19015030944).

13748701356 is an abundant number, since it is smaller than the sum of its proper divisors (24281360532).

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

13748701356 is a wasteful number, since it uses less digits than its factorization.

13748701356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 13748701356 in words is "thirteen billion, seven hundred forty-eight million, seven hundred one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 101 117 156 181 202 234 303 362 404 468 543 606 724 909 1086 1212 1313 1607 1629 1818 2172 2353 2626 3214 3258 3636 3939 4706 4821 5252 6428 6516 7059 7878 9412 9642 11817 14118 14463 15756 18281 19284 20891 21177 23634 28236 28926 36562 41782 42354 47268 54843 57852 62673 73124 83564 84708 109686 125346 162307 164529 188019 219372 237653 250692 290867 324614 329058 376038 475306 486921 581734 649228 658116 712959 752076 872601 950612 973842 1163468 1425918 1460763 1745202 1947684 2109991 2138877 2617803 2851836 2921526 3490404 3781271 4219982 4277754 5235606 5843052 6329973 7562542 8439964 8555508 10471212 11343813 12659946 15125084 18989919 22687626 25319892 29377567 34031439 37979838 45375252 58755134 68062878 75959676 88132701 117510268 136125756 176265402 264398103 352530804 381908371 528796206 763816742 1057592412 1145725113 1527633484 2291450226 3437175339 4582900452 6874350678 13748701356