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55966466955 = 3572172377121
BaseRepresentation
bin110100000111110111…
…001000001110001011
312100110101210002121110
4310013313020032023
51404104403420310
641413255341403
74020621056100
oct640767101613
9170411702543
1055966466955
112180a67aa83
12aa1b081863
13537bbc7649
1429cccd0aa7
1516c85a6d20
hexd07dc838b

55966466955 has 144 divisors (see below), whose sum is σ = 113660624736. Its totient is φ = 23425597440.

The previous prime is 55966466917. The next prime is 55966466981.

55966466955 is nontrivially palindromic in base 10.

55966466955 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 55966466955 - 26 = 55966466891 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7855795 + ... + 7862915.

It is an arithmetic number, because the mean of its divisors is an integer number (789309894).

Almost surely, 255966466955 is an apocalyptic number.

55966466955 is an abundant number, since it is smaller than the sum of its proper divisors (57694157781).

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

55966466955 is a wasteful number, since it uses less digits than its factorization.

55966466955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7214 (or 7190 counting only the distinct ones).

The product of its digits is 262440000, while the sum is 66.

The spelling of 55966466955 in words is "fifty-five billion, nine hundred sixty-six million, four hundred sixty-six thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 15 17 21 35 37 49 51 85 105 111 119 147 185 245 255 259 289 357 555 595 629 735 777 833 867 1295 1445 1785 1813 1887 2023 2499 3145 3885 4165 4335 4403 5439 6069 7121 9065 9435 10115 10693 12495 13209 14161 21363 22015 27195 30345 30821 32079 35605 42483 49847 53465 66045 70805 74851 92463 106815 121057 149541 154105 160395 212415 224553 249235 263477 348929 363171 374255 462315 523957 605285 747705 790431 847399 1046787 1122765 1317385 1571871 1744645 1815855 1844339 2057969 2542197 2619785 3952155 4236995 4479109 5233935 5533017 5931793 6173907 7859355 9221695 10289845 12710985 12910373 13437327 14405783 17795379 22395545 27665085 29658965 30869535 31353763 38731119 43217349 64551865 67186635 72028915 76144853 88976895 94061289 100840481 156768815 193655595 216086745 219476341 228434559 302521443 380724265 470306445 504202405 533013971 658429023 1097381705 1142172795 1512607215 1599041913 2665069855 3292145115 3731097797 7995209565 11193293391 18655488985 55966466955