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2318381297055 = 335177122962131
BaseRepresentation
bin100001101111001010010…
…010110010110110011111
322012122010222102111222000
4201233022102302312133
5300441021103001210
64533014421053343
7326332435606635
oct41571222626637
98178128374860
102318381297055
1181424689067a
12315399257253
1313a8125b6bc5
14802d2d15355
154048e261ac0
hex21bca4b2d9f

2318381297055 has 128 divisors (see below), whose sum is σ = 4444873574400. Its totient is φ = 1142317209600.

The previous prime is 2318381297041. The next prime is 2318381297059. The reversal of 2318381297055 is 5507921838132.

2318381297055 is a `hidden beast` number, since 2 + 318 + 38 + 1 + 297 + 0 + 5 + 5 = 666.

It is not a de Polignac number, because 2318381297055 - 224 = 2318364519839 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2318381296992 and 2318381297010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2318381297059) 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 127 ways as a sum of consecutive naturals, for example, 37283340 + ... + 37345470.

It is an arithmetic number, because the mean of its divisors is an integer number (34725574800).

Almost surely, 22318381297055 is an apocalyptic number.

2318381297055 is a deficient number, since it is larger than the sum of its proper divisors (2126492277345).

2318381297055 is a wasteful number, since it uses less digits than its factorization.

2318381297055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62462 (or 62456 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 2318381297055 in words is "two trillion, three hundred eighteen billion, three hundred eighty-one million, two hundred ninety-seven thousand, fifty-five".

Divisors: 1 3 5 9 15 17 27 45 51 71 85 135 153 213 229 255 355 459 639 687 765 1065 1145 1207 1917 2061 2295 3195 3435 3621 3893 6035 6183 9585 10305 10863 11679 16259 18105 19465 30915 32589 35037 48777 54315 58395 62131 81295 105111 146331 162945 175185 186393 243885 276403 310655 438993 525555 559179 731655 829209 931965 1056227 1382015 1677537 2194965 2487627 2795895 3168681 4146045 4411301 5281135 7462881 8387685 9506043 12438135 13233903 14227999 15843405 22056505 28518129 37314405 39701709 42683997 47530215 66169515 71139995 74992117 119105127 128051991 142590645 198508545 213419985 224976351 241875983 374960585 384155973 595525635 640259955 674929053 725627949 1010187929 1124881755 1209379915 1920779865 2024787159 2176883847 3030563787 3374645265 3628139745 5050939645 6530651541 9091691361 10123935795 10884419235 15152818935 17173194793 27275074083 32653257705 45458456805 51519584379 85865973965 136375370415 154558753137 257597921895 463676259411 772793765685 2318381297055