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245311411211055 = 325717219141825967
BaseRepresentation
bin110111110001110000000011…
…100001100100101100101111
31012011120112122000210210210200
4313301300003201210230233
5224123140232232223210
62225422301225204543
7102446110311636060
oct6761600341445457
91164515560723720
10245311411211055
1171188a92411a12
122361abb3330753
13a6b59c790c297
1444811c833a567
151d561a58a60c0
hexdf1c03864b2f

245311411211055 has 144 divisors (see below), whose sum is σ = 543386340756480. Its totient is φ = 99990709853184.

The previous prime is 245311411211051. The next prime is 245311411211149. The reversal of 245311411211055 is 550112114113542.

It is a happy number.

245311411211055 is a `hidden beast` number, since 2 + 4 + 531 + 1 + 4 + 1 + 1 + 2 + 110 + 5 + 5 = 666.

245311411211055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 245311411211055 - 22 = 245311411211051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245311411211051) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69183319 + ... + 72642648.

Almost surely, 2245311411211055 is an apocalyptic number.

245311411211055 is an abundant number, since it is smaller than the sum of its proper divisors (298074929545425).

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

245311411211055 is a wasteful number, since it uses less digits than its factorization.

245311411211055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141826038 (or 141826018 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

Adding to 245311411211055 its reverse (550112114113542), we get a palindrome (795423525324597).

The spelling of 245311411211055 in words is "two hundred forty-five trillion, three hundred eleven billion, four hundred eleven million, two hundred eleven thousand, fifty-five".

Divisors: 1 3 5 7 9 15 17 19 21 35 45 51 57 63 85 95 105 119 133 153 171 255 285 289 315 323 357 399 595 665 765 855 867 969 1071 1197 1445 1615 1785 1995 2023 2261 2601 2907 4335 4845 5355 5491 5985 6069 6783 10115 11305 13005 14535 16473 18207 20349 27455 30345 33915 38437 49419 82365 91035 101745 115311 192185 247095 345933 576555 1729665 141825967 425477901 709129835 992781769 1276433703 2127389505 2411041439 2694693373 2978345307 4963908845 6382168515 7233124317 8084080119 8935035921 12055207195 13473466865 14891726535 16877290073 18862853611 21699372951 24252240357 36165621585 40420400595 40987704463 44675179605 45809787341 50631870219 56588560833 84386450365 94314268055 108496864755 121261201785 122963113389 137429362023 151895610657 169765682499 204938522315 229048936705 253159351095 282942804165 286913931241 320668511387 368889340167 412288086069 614815566945 687146810115 759478053285 778766384797 848828412495 860741793723 962005534161 1434569656205 1603342556935 1844446700835 2061440430345 2336299154391 2582225381169 2886016602483 3893831923985 4303708968615 4810027670805 5451364693579 7008897463173 11681495771955 12911126905845 14430083012415 16354094080737 27256823467895 35044487315865 49062282242211 81770470403685 245311411211055