Search a number
-
+
26982272213645 = 572281211812
BaseRepresentation
bin1100010001010010011001…
…10000000010001010001101
310112112110221221110121221012
412020221030300002022031
512014034143141314040
6133215252411415005
75453255600420600
oct610511460021215
9115473857417835
1026982272213645
118663132269081
123039418454465
131209556bcb348
14693d3dc86337
1531bd0e04c865
hex188a4cc0228d

26982272213645 has 54 divisors (see below), whose sum is σ = 37831599212958. Its totient is φ = 18420674899200.

The previous prime is 26982272213623. The next prime is 26982272213647. The reversal of 26982272213645 is 54631227228962.

It can be written as a sum of positive squares in 9 ways, for example, as 1165436838916 + 25816835374729 = 1079554^2 + 5081027^2 .

It is not a de Polignac number, because 26982272213645 - 218 = 26982271951501 is a prime.

It is a super-3 number, since 3×269822722136453 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26982272213647) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 22846969955 + ... + 22846971135.

Almost surely, 226982272213645 is an apocalyptic number.

It is an amenable number.

26982272213645 is a deficient number, since it is larger than the sum of its proper divisors (10849326999313).

26982272213645 is an frugal number, since it uses more digits than its factorization.

26982272213645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 1474 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 59.

The spelling of 26982272213645 in words is "twenty-six trillion, nine hundred eighty-two billion, two hundred seventy-two million, two hundred thirteen thousand, six hundred forty-five".

Divisors: 1 5 7 35 49 245 281 1181 1405 1967 5905 8267 9835 13769 41335 57869 68845 78961 289345 331861 394805 552727 1394761 1659305 2323027 2763635 3869089 6973805 9763327 11615135 16261189 19345445 48816635 68343289 81305945 93252941 341716445 391927841 466264705 652770587 1959639205 2743494887 3263852935 4569394109 13717474435 19204464209 22846970545 96022321045 110131723321 550658616605 770922063247 3854610316235 5396454442729 26982272213645