Search a number
-
+
16538438115216 = 243531313590139
BaseRepresentation
bin1111000010101010011110…
…1110101001111110010000
32011120001121012002002100000
43300222213232221332100
54131431210124141331
655101353101330000
73324601625334033
oct360524756517620
964501535062300
1016538438115216
1152a6a04183836
121a31315566900
1392c74cc39554
144126710db01a
151da3093250e6
hexf0aa7ba9f90

16538438115216 has 120 divisors (see below), whose sum is σ = 48152257884640. Its totient is φ = 5495199480576.

The previous prime is 16538438115211. The next prime is 16538438115229. The reversal of 16538438115216 is 61251183483561.

16538438115216 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 84 + 38 + 1 + 1 + 521 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16538438115211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5578126 + ... + 8012013.

Almost surely, 216538438115216 is an apocalyptic number.

16538438115216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16538438115216 is an abundant number, since it is smaller than the sum of its proper divisors (31613819769424).

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

16538438115216 is a wasteful number, since it uses less digits than its factorization.

16538438115216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13590475 (or 13590457 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 16538438115216 in words is "sixteen trillion, five hundred thirty-eight billion, four hundred thirty-eight million, one hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 313 324 432 486 626 648 939 972 1252 1296 1878 1944 2504 2817 3756 3888 5008 5634 7512 8451 11268 15024 16902 22536 25353 33804 45072 50706 67608 76059 101412 135216 152118 202824 304236 405648 608472 1216944 13590139 27180278 40770417 54360556 81540834 108721112 122311251 163081668 217442224 244622502 326163336 366933753 489245004 652326672 733867506 978490008 1100801259 1467735012 1956980016 2201602518 2935470024 3302403777 4253713507 4403205036 5870940048 6604807554 8507427014 8806410072 12761140521 13209615108 17014854028 17612820144 25522281042 26419230216 34029708056 38283421563 51044562084 52838460432 68059416112 76566843126 102089124168 114850264689 153133686252 204178248336 229700529378 306267372504 344550794067 459401058756 612534745008 689101588134 918802117512 1033652382201 1378203176268 1837604235024 2067304764402 2756406352536 4134609528804 5512812705072 8269219057608 16538438115216