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13338433423056 = 2437175344059621
BaseRepresentation
bin1100001000011001100010…
…0101100000011011010000
31202020010211100200201221210
43002012120211200123100
53222014102424014211
644211331451220120
72544445546261110
oct302063045403320
952203740621853
1013338433423056
114282885a31645
1215b50b2447640
13759a69136871
14341825661040
15181e6b0319a6
hexc21989606d0

13338433423056 has 160 divisors (see below), whose sum is σ = 42483344963328. Its totient is φ = 3519129968640.

The previous prime is 13338433423027. The next prime is 13338433423087. The reversal of 13338433423056 is 65032433483331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 13338433422996 and 13338433423014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21727075 + ... + 22332546.

Almost surely, 213338433423056 is an apocalyptic number.

13338433423056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13338433423056 is an abundant number, since it is smaller than the sum of its proper divisors (29144911540272).

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

13338433423056 is a wasteful number, since it uses less digits than its factorization.

13338433423056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44059709 (or 44059703 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 48.

The spelling of 13338433423056 in words is "thirteen trillion, three hundred thirty-eight billion, four hundred thirty-three million, four hundred twenty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 53 56 68 84 102 106 112 119 136 159 168 204 212 238 272 318 336 357 371 408 424 476 636 714 742 816 848 901 952 1113 1272 1428 1484 1802 1904 2226 2544 2703 2856 2968 3604 4452 5406 5712 5936 6307 7208 8904 10812 12614 14416 17808 18921 21624 25228 37842 43248 50456 75684 100912 151368 302736 44059621 88119242 132178863 176238484 264357726 308417347 352476968 528715452 616834694 704953936 749013557 925252041 1057430904 1233669388 1498027114 1850504082 2114861808 2247040671 2335159913 2467338776 2996054228 3701008164 4494081342 4670319826 4934677552 5243094899 5992108456 7005479739 7402016328 8988162684 9340639652 10486189798 11984216912 14010959478 14804032656 15729284697 16346119391 17976325368 18681279304 20972379596 28021918956 31458569394 32692238782 35952650736 37362558608 39697718521 41944759192 49038358173 56043837912 62917138788 65384477564 79395437042 83889518384 98076716346 112087675824 119093155563 125834277576 130768955128 158790874084 196153432692 238186311126 251668555152 261537910256 277884029647 317581748168 392306865384 476372622252 555768059294 635163496336 784613730768 833652088941 952745244504 1111536118588 1667304177882 1905490489008 2223072237176 3334608355764 4446144474352 6669216711528 13338433423056