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13798348480608 = 253972115313249
BaseRepresentation
bin1100100011001010110110…
…1010001110000001100000
31210212002221122000101120020
43020302231222032001200
53302033004202334413
645202512423113440
72622616636620156
oct310625552160140
953762848011506
1013798348480608
11443a934aa452a
12166a266ba2880
13791242731183
14359bb4cc53d6
1518ddd799ec23
hexc8cada8e060

13798348480608 has 144 divisors (see below), whose sum is σ = 36632429442000. Its totient is φ = 4547741220864.

The previous prime is 13798348480519. The next prime is 13798348480639. The reversal of 13798348480608 is 80608484389731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041456768 + ... + 1041470016.

It is an arithmetic number, because the mean of its divisors is an integer number (254391871125).

Almost surely, 213798348480608 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 13798348480608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18316214721000).

13798348480608 is an abundant number, since it is smaller than the sum of its proper divisors (22834080961392).

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

13798348480608 is a wasteful number, since it uses less digits than its factorization.

13798348480608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14609 (or 14504 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 69.

The spelling of 13798348480608 in words is "thirteen trillion, seven hundred ninety-eight billion, three hundred forty-eight million, four hundred eighty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1153 1164 1552 2306 2328 3104 3459 4612 4656 6918 9224 9312 9409 13249 13836 18448 18818 26498 27672 28227 36896 37636 39747 52996 55344 56454 75272 79494 105992 110688 111841 112908 150544 158988 211984 223682 225816 301088 317976 335523 423968 447364 451632 635952 671046 894728 903264 1271904 1285153 1342092 1789456 2570306 2684184 3578912 3855459 5140612 5368368 7710918 10281224 10736736 10848577 15276097 15421836 20562448 21697154 30552194 30843672 32545731 41124896 43394308 45828291 61104388 61687344 65091462 86788616 91656582 122208776 123374688 124659841 130182924 173577232 183313164 244417552 249319682 260365848 347154464 366626328 373979523 488835104 498639364 520731696 733252656 747959046 997278728 1041463392 1466505312 1481781409 1495918092 1994557456 2963562818 2991836184 3989114912 4445344227 5927125636 5983672368 8890688454 11854251272 11967344736 17781376908 23708502544 35562753816 47417005088 71125507632 142251015264 143732796673 287465593346 431198390019 574931186692 862396780038 1149862373384 1724793560076 2299724746768 3449587120152 4599449493536 6899174240304 13798348480608