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11264053605 = 357243477583
BaseRepresentation
bin10100111110110001…
…11101000101100101
31002002000022012200120
422133120331011211
5141032044203410
65101415432153
7546063606300
oct123730750545
932060265616
1011264053605
1148602a0212
122224385659
1310a684a99c
1478bda7b37
1545dd4c570
hex29f63d165

11264053605 has 96 divisors (see below), whose sum is σ = 21911814144. Its totient is φ = 4921870464.

The previous prime is 11264053547. The next prime is 11264053621. The reversal of 11264053605 is 50635046211.

It is not a de Polignac number, because 11264053605 - 28 = 11264053349 is a prime.

It is a super-3 number, since 3×112640536053 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1481644 + ... + 1489226.

It is an arithmetic number, because the mean of its divisors is an integer number (228248064).

Almost surely, 211264053605 is an apocalyptic number.

11264053605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11264053605 is a deficient number, since it is larger than the sum of its proper divisors (10647760539).

11264053605 is a wasteful number, since it uses less digits than its factorization.

11264053605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695 (or 7688 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 11264053605 its reverse (50635046211), we get a palindrome (61899099816).

The spelling of 11264053605 in words is "eleven billion, two hundred sixty-four million, fifty-three thousand, six hundred five".

Divisors: 1 3 5 7 15 21 35 43 47 49 105 129 141 147 215 235 245 301 329 645 705 735 903 987 1505 1645 2021 2107 2303 4515 4935 6063 6321 6909 7583 10105 10535 11515 14147 22749 30315 31605 34545 37915 42441 53081 70735 99029 113745 159243 212205 265405 297087 326069 356401 371567 495145 796215 978207 1069203 1114701 1485435 1630345 1782005 1857835 2282483 2494807 4891035 5346015 5573505 6847449 7484421 11412415 12474035 15325243 15977381 17463649 34237245 37422105 45975729 47932143 52390947 76626215 79886905 87318245 107276701 229878645 239660715 261954735 321830103 536383505 750936907 1609150515 2252810721 3754684535 11264053605