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16003920493242 = 23311312237388519
BaseRepresentation
bin1110100011100011001111…
…1111101111101010111010
32002122221220201212111102000
43220320303333233222322
54044202012121240432
654012033301521430
73241150032452103
oct350706377575272
962587821774360
1016003920493242
115110251996030
121965800713276
138c12177bccb6
143d48458973aa
151cb47319857c
hexe8e33fefaba

16003920493242 has 128 divisors (see below), whose sum is σ = 40066917580800. Its totient is φ = 4691121739200.

The previous prime is 16003920493217. The next prime is 16003920493277. The reversal of 16003920493242 is 24239402930061.

16003920493242 is a `hidden beast` number, since 1 + 600 + 3 + 9 + 2 + 0 + 4 + 9 + 32 + 4 + 2 = 666.

It is a super-2 number, since 2×160039204932422 (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 (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40997859 + ... + 41386377.

It is an arithmetic number, because the mean of its divisors is an integer number (313022793600).

Almost surely, 216003920493242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16003920493242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20033458790400).

16003920493242 is an abundant number, since it is smaller than the sum of its proper divisors (24062997087558).

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

16003920493242 is a wasteful number, since it uses less digits than its factorization.

16003920493242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390809 (or 390803 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 16003920493242 in words is "sixteen trillion, three billion, nine hundred twenty million, four hundred ninety-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 2237 3069 4474 6138 6711 9207 13422 18414 20133 24607 40266 49214 60399 69347 73821 120798 138694 147642 208041 221463 388519 416082 442926 624123 664389 762817 777038 1165557 1248246 1328778 1525634 1872369 2288451 2331114 3496671 3744738 4273709 4576902 6865353 6993342 8547418 10490013 12044089 12821127 13730706 20596059 20980026 24088178 25642254 36132267 38463381 41192118 72264534 76926762 108396801 115390143 132484979 216793602 230780286 264969958 325190403 397454937 650380806 794909874 869117003 1192364811 1738234006 2384729622 2607351009 3577094433 5214702018 7154188866 7822053027 9560287033 15644106054 19120574066 23466159081 26942627093 28680861099 46932318162 53885254186 57361722198 80827881279 86042583297 161655762558 172085166594 242483643837 258127749891 296368898023 484967287674 516255499782 592737796046 727450931511 889106694069 1454901863022 1778213388138 2667320082207 5334640164414 8001960246621 16003920493242