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13349336026832 = 24136710319974657
BaseRepresentation
bin1100001001000010001001…
…1011101000111011010000
31202021011222011212101200122
43002100202123220323100
53222203420010324312
644220333400005412
72545312664005001
oct302204233507320
952234864771618
1013349336026832
114287470197193
1215b7235760868
1375aab5b1c8c0
1434217b61b1a8
151823a8282b72
hexc24226e8ed0

13349336026832 has 160 divisors (see below), whose sum is σ = 28564521253632. Its totient is φ = 6006048694272.

The previous prime is 13349336026799. The next prime is 13349336026837. The reversal of 13349336026832 is 23862063394331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13349336026837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2866507448 + ... + 2866512104.

Almost surely, 213349336026832 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 13349336026832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14282260626816).

13349336026832 is an abundant number, since it is smaller than the sum of its proper divisors (15215185226800).

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

13349336026832 is a wasteful number, since it uses less digits than its factorization.

13349336026832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6845 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 53.

The spelling of 13349336026832 in words is "thirteen trillion, three hundred forty-nine billion, three hundred thirty-six million, twenty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 67 103 104 134 206 208 268 412 536 824 871 1072 1339 1648 1742 1997 2678 3484 3994 4657 5356 6901 6968 7988 9314 10712 13802 13936 15976 18628 21424 25961 27604 31952 37256 51922 55208 60541 74512 89713 103844 110416 121082 133799 179426 205691 207688 242164 267598 312019 358852 411382 415376 479671 484328 535196 624038 717704 822764 959342 968656 1070392 1248076 1435408 1645528 1739387 1918684 2140784 2496152 2673983 3291056 3478774 3837368 4056247 4992304 5347966 6235723 6957548 7674736 8112494 9300029 10695932 12471446 13781297 13915096 16224988 18600058 21391864 24942892 27562594 27830192 32137957 32449976 37200116 42783728 49885784 55125188 64275914 64899952 74400232 99771568 110250376 120900377 128551828 148800464 179156861 220500752 241800754 257103656 358313722 417793441 483601508 514207312 623101943 716627444 835586882 957902987 967203016 1246203886 1433254888 1671173764 1915805974 1934406032 2492407772 2866509776 3342347528 3831611948 4984815544 6684695056 7663223896 8100325259 9969631088 12452738831 15326447792 16200650518 24905477662 32401301036 49810955324 64179500129 64802602072 99621910648 128359000258 129605204144 199243821296 256718000516 513436001032 834333501677 1026872002064 1668667003354 3337334006708 6674668013416 13349336026832