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2640648971181 = 3131937215117239
BaseRepresentation
bin100110011011010010111…
…100011010001110101101
3100100102222100220121001110
4212123102330122032231
5321231022114034211
65341033011502233
7361531512624114
oct46332274321655
910312870817043
102640648971181
11928990559041
12367937bb7979
13162020857a40
1491b45594c7b
1548a517c4ea6
hex266d2f1a3ad

2640648971181 has 96 divisors (see below), whose sum is σ = 4129457203200. Its totient is φ = 1487873836800.

The previous prime is 2640648971119. The next prime is 2640648971189. The reversal of 2640648971181 is 1811798460462.

It is not a de Polignac number, because 2640648971181 - 29 = 2640648970669 is a prime.

It is a super-2 number, since 2×26406489711812 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640648971189) 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 95 ways as a sum of consecutive naturals, for example, 153170160 + ... + 153187398.

It is an arithmetic number, because the mean of its divisors is an integer number (43015179200).

Almost surely, 22640648971181 is an apocalyptic number.

It is an amenable number.

2640648971181 is a deficient number, since it is larger than the sum of its proper divisors (1488808232019).

2640648971181 is a wasteful number, since it uses less digits than its factorization.

2640648971181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17499 (or 17462 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 2640648971181 in words is "two trillion, six hundred forty billion, six hundred forty-eight million, nine hundred seventy-one thousand, one hundred eighty-one".

Divisors: 1 3 13 19 37 39 57 111 151 247 453 481 703 741 1369 1443 1963 2109 2869 4107 5587 5889 8607 9139 16761 17239 17797 26011 27417 37297 51717 53391 72631 78033 106153 111891 206719 217893 224107 318459 327541 338143 620157 637843 672321 982623 1014429 1379989 1913529 2603089 2687347 3927661 4139967 4258033 7809267 8062041 8291959 11782983 12119017 12774099 23600191 24875877 33840157 36357051 49458691 51059593 70800573 96314293 101520471 148376073 153178779 157547221 288942879 306802483 448403629 472641663 642962983 920407449 1252085809 1345210887 1829971567 1928888949 3563628841 3756257427 5489914701 5829247177 10690886523 17487741531 23789630371 46327174933 67708947979 71368891113 138981524799 203126843937 880216323727 2640648971181