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13423264362160 = 2454137352121059
BaseRepresentation
bin1100001101010101100011…
…1001110110111010110000
31202112020210101001221120021
43003111120321312322300
53224411321134042120
644314321300453224
72553541001332222
oct303253071667260
952466711057507
1013423264362160
114305857874784
1216096280aa214
13764a68086513
14345991c50412
151842836aeaaa
hexc3558e76eb0

13423264362160 has 160 divisors (see below), whose sum is σ = 32119051124160. Its totient is φ = 5214028185600.

The previous prime is 13423264362149. The next prime is 13423264362173. The reversal of 13423264362160 is 6126346232431.

It is a super-2 number, since 2×134232643621602 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637401711 + ... + 637422769.

It is an arithmetic number, because the mean of its divisors is an integer number (200744069526).

Almost surely, 213423264362160 is an apocalyptic number.

13423264362160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13423264362160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16059525562080).

13423264362160 is an abundant number, since it is smaller than the sum of its proper divisors (18695786762000).

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

13423264362160 is a wasteful number, since it uses less digits than its factorization.

13423264362160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22007 (or 22001 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 43.

The spelling of 13423264362160 in words is "thirteen trillion, four hundred twenty-three billion, two hundred sixty-four million, three hundred sixty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 373 410 521 656 746 820 1042 1492 1640 1865 2084 2605 2984 3280 3730 4168 5210 5968 7460 8336 10420 14920 15293 20840 21059 21361 29840 30586 41680 42118 42722 61172 76465 84236 85444 105295 106805 122344 152930 168472 170888 194333 210590 213610 244688 305860 336944 341776 388666 421180 427220 611720 777332 842360 854440 863419 971665 1223440 1554664 1684720 1708880 1726838 1943330 3109328 3453676 3886660 4317095 6907352 7773320 7855007 7967653 8634190 10971739 13814704 15546640 15710014 15935306 17268380 21943478 31420028 31870612 34536760 39275035 39838265 43886956 54858695 62840056 63741224 69073520 78550070 79676530 87773912 109717390 125680112 127482448 157100140 159353060 175547824 219434780 314200280 318706120 322055287 438869560 449841299 628400560 637412240 644110574 877739120 899682598 1288221148 1610276435 1799365196 2249206495 2576442296 3220552870 3598730392 4092458647 4498412990 5152884592 6441105740 7197460784 8184917294 8996825980 12882211480 16369834588 17993651960 20462293235 25764422960 32739669176 35987303920 40924586470 65479338352 81849172940 163698345880 167790804527 327396691760 335581609054 671163218108 838954022635 1342326436216 1677908045270 2684652872432 3355816090540 6711632181080 13423264362160