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12049165344 = 2531713753891
BaseRepresentation
bin10110011100010111…
…11010110000100000
31011002201122000112010
423032023322300200
5144134041242334
65311343232520
7604406133636
oct131613726040
934081560463
1012049165344
115123492297
1224032a8740
1311a03ba048
14824379356
154a7c330e9
hex2ce2fac20

12049165344 has 96 divisors (see below), whose sum is σ = 33734667456. Its totient is φ = 3752468480.

The previous prime is 12049165313. The next prime is 12049165351. The reversal of 12049165344 is 44356194021.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196639 + ... + 250529.

It is an arithmetic number, because the mean of its divisors is an integer number (351402786).

Almost surely, 212049165344 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 12049165344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16867333728).

12049165344 is an abundant number, since it is smaller than the sum of its proper divisors (21685502112).

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

12049165344 is a wasteful number, since it uses less digits than its factorization.

12049165344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54058 (or 54050 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 12049165344 in words is "twelve billion, forty-nine million, one hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 137 204 272 274 408 411 544 548 816 822 1096 1632 1644 2192 2329 3288 4384 4658 6576 6987 9316 13152 13974 18632 27948 37264 53891 55896 74528 107782 111792 161673 215564 223584 323346 431128 646692 862256 916147 1293384 1724512 1832294 2586768 2748441 3664588 5173536 5496882 7329176 7383067 10993764 14658352 14766134 21987528 22149201 29316704 29532268 43975056 44298402 59064536 87950112 88596804 118129072 125512139 177193608 236258144 251024278 354387216 376536417 502048556 708774432 753072834 1004097112 1506145668 2008194224 3012291336 4016388448 6024582672 12049165344