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13746621304 = 23131812113461
BaseRepresentation
bin11001100110101110…
…01100101101111000
31022111000200201100101
430303113030231320
5211123113340204
610152021445144
7664440232063
oct146327145570
938430621311
1013746621304
115914678059
1227b78707b4
1313b0c85660
1494599b8da
15556c82ea4
hex3335ccb78

13746621304 has 64 divisors (see below), whose sum is σ = 28051339680. Its totient is φ = 6277824000.

The previous prime is 13746621299. The next prime is 13746621319. The reversal of 13746621304 is 40312664731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3970134 + ... + 3973594.

Almost surely, 213746621304 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 13746621304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14025669840).

13746621304 is an abundant number, since it is smaller than the sum of its proper divisors (14304718376).

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

13746621304 is a wasteful number, since it uses less digits than its factorization.

13746621304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 13746621304 in words is "thirteen billion, seven hundred forty-six million, six hundred twenty-one thousand, three hundred four".

Divisors: 1 2 4 8 13 26 52 104 181 211 362 422 724 844 1448 1688 2353 2743 3461 4706 5486 6922 9412 10972 13844 18824 21944 27688 38191 44993 76382 89986 152764 179972 305528 359944 496483 626441 730271 992966 1252882 1460542 1985932 2505764 2921084 3971864 5011528 5842168 8143733 9493523 16287466 18987046 32574932 37974092 65149864 75948184 132179051 264358102 528716204 1057432408 1718327663 3436655326 6873310652 13746621304