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38388114788112 = 2432677156040389
BaseRepresentation
bin10001011101001111011011…
…11100100000111100010000
312000220212102201112012200100
420232213231330200330100
520012422324341204422
6213351131222052400
711041310161566105
oct1056475574407420
9160825381465610
1038388114788112
1111260343027021
12437ba59b7a100
131855ca322a78b
14969dcd530aac
15468869edd7ac
hex22e9edf20f10

38388114788112 has 120 divisors (see below), whose sum is σ = 110572621024320. Its totient is φ = 12427516442880.

The previous prime is 38388114788087. The next prime is 38388114788207. The reversal of 38388114788112 is 21188741188383.

38388114788112 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 81 + 1 + 478 + 81 + 1 + 2 = 666.

38388114788112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38388114788112.

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 23 ways as a sum of consecutive naturals, for example, 27335187 + ... + 28705202.

It is an arithmetic number, because the mean of its divisors is an integer number (921438508536).

Almost surely, 238388114788112 is an apocalyptic number.

It is an amenable number.

38388114788112 is an abundant number, since it is smaller than the sum of its proper divisors (72184506236208).

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

38388114788112 is a wasteful number, since it uses less digits than its factorization.

38388114788112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56040541 (or 56040532 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 63.

The spelling of 38388114788112 in words is "thirty-eight trillion, three hundred eighty-eight billion, one hundred fourteen million, seven hundred eighty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 71 72 134 142 144 201 213 268 284 402 426 536 568 603 639 804 852 1072 1136 1206 1278 1608 1704 2412 2556 3216 3408 4757 4824 5112 9514 9648 10224 14271 19028 28542 38056 42813 57084 76112 85626 114168 171252 228336 342504 685008 56040389 112080778 168121167 224161556 336242334 448323112 504363501 672484668 896646224 1008727002 1344969336 2017454004 2689938672 3754706063 3978867619 4034908008 7509412126 7957735238 8069816016 11264118189 11936602857 15018824252 15915470476 22528236378 23873205714 30037648504 31830940952 33792354567 35809808571 45056472756 47746411428 60075297008 63661881904 67584709134 71619617142 90112945512 95492822856 135169418268 143239234284 180225891024 190985645712 266584130473 270338836536 286478468568 533168260946 540677673072 572956937136 799752391419 1066336521892 1599504782838 2132673043784 2399257174257 3199009565676 4265346087568 4798514348514 6398019131352 9597028697028 12796038262704 19194057394056 38388114788112