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13425730384 = 24112343137563
BaseRepresentation
bin11001000000011110…
…00110001101010000
31021122122212202202111
430200033012031100
5204443441333014
610100115555104
7653462553043
oct144017061520
937578782674
1013425730384
11576a524a50
1227282bba94
13135c651a81
1491510ac5a
155389e92c4
hex3203c6350

13425730384 has 160 divisors (see below), whose sum is σ = 30574900224. Its totient is φ = 5649853440.

The previous prime is 13425730379. The next prime is 13425730403. The reversal of 13425730384 is 48303752431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23846487 + ... + 23847049.

Almost surely, 213425730384 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 13425730384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15287450112).

13425730384 is an abundant number, since it is smaller than the sum of its proper divisors (17149169840).

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

13425730384 is a wasteful number, since it uses less digits than its factorization.

13425730384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 13425730384 in words is "thirteen billion, four hundred twenty-five million, seven hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 23 43 44 46 86 88 92 137 172 176 184 253 274 344 368 473 506 548 563 688 946 989 1012 1096 1126 1507 1892 1978 2024 2192 2252 3014 3151 3784 3956 4048 4504 5891 6028 6193 6302 7568 7912 9008 10879 11782 12056 12386 12604 12949 15824 21758 23564 24112 24209 24772 25208 25898 34661 43516 47128 48418 49544 50416 51796 64801 69322 77131 87032 94256 96836 99088 103592 129602 135493 138644 142439 154262 174064 193672 207184 259204 266299 270986 277288 284878 308524 387344 518408 532598 541972 554576 556807 569756 617048 848441 1036816 1065196 1083944 1113614 1139512 1234096 1490423 1696882 1774013 2130392 2167888 2227228 2279024 2980846 3316633 3393764 3548026 4260784 4454456 5961692 6124877 6633266 6787528 7096052 8908912 11923384 12249754 13266532 13575056 14192104 19514143 23846768 24499508 26533064 28384208 36482963 39028286 48999016 53066128 72965926 76282559 78056572 97998032 145931852 152565118 156113144 291863704 305130236 312226288 583727408 610260472 839108149 1220520944 1678216298 3356432596 6712865192 13425730384