Search a number
-
+
26181604801216 = 261921133206579
BaseRepresentation
bin1011111001111111000010…
…10000001111101011000000
310102200221022001110211012201
411330333201100033223000
511412424411312114331
6131403355130202544
75341362400620664
oct574774120175300
9112627261424181
1026181604801216
1183846133a2567
122b2a206583454
13117bbb78b2297
146672a702a8a4
1530609c373a61
hex17cfe140fac0

26181604801216 has 42 divisors (see below), whose sum is σ = 54832466786460. Its totient is φ = 12401812789632.

The previous prime is 26181604801193. The next prime is 26181604801217. The reversal of 26181604801216 is 61210840618162.

It is a super-3 number, since 3×261816048012163 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (26181604801217) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 566580186 + ... + 566626393.

Almost surely, 226181604801216 is an apocalyptic number.

It is an amenable number.

26181604801216 is an abundant number, since it is smaller than the sum of its proper divisors (28650861985244).

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

26181604801216 is a wasteful number, since it uses less digits than its factorization.

26181604801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133206629 (or 1133206600 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 26181604801216 in words is "twenty-six trillion, one hundred eighty-one billion, six hundred four million, eight hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2888 5776 11552 23104 1133206579 2266413158 4532826316 9065652632 18131305264 21530925001 36262610528 43061850002 72525221056 86123700004 172247400008 344494800016 409087575019 688989600032 818175150038 1377979200064 1636350300076 3272700600152 6545401200304 13090802400608 26181604801216