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55466799766455 = 35711220443213557
BaseRepresentation
bin11001001110010010111101…
…11001011001101110110111
321021101120111122101111022010
430213021132321121232313
524232232001220011310
6313545032424535303
714453226001632060
oct1447113671315667
9237346448344263
1055466799766455
11167453794a7200
126279a07021533
1324c465c54bcac
14d9a870b1d567
15662c43443320
hex32725ee59bb7

55466799766455 has 96 divisors (see below), whose sum is σ = 111489658947072. Its totient is φ = 23049902050560.

The previous prime is 55466799766451. The next prime is 55466799766489.

It is a happy number.

55466799766455 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55466799766455 - 22 = 55466799766451 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55466799766451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259621537 + ... + 259835093.

It is an arithmetic number, because the mean of its divisors is an integer number (1161350614032).

Almost surely, 255466799766455 is an apocalyptic number.

55466799766455 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55466799766455 is an abundant number, since it is smaller than the sum of its proper divisors (56022859180617).

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

55466799766455 is a wasteful number, since it uses less digits than its factorization.

55466799766455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234037 (or 234026 counting only the distinct ones).

The product of its digits is 51438240000, while the sum is 84.

The spelling of 55466799766455 in words is "fifty-five trillion, four hundred sixty-six billion, seven hundred ninety-nine million, seven hundred sixty-six thousand, four hundred fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 605 847 1155 1815 2541 4235 12705 20443 61329 102215 143101 213557 224873 306645 429303 640671 674619 715505 1067785 1124365 1494899 1574111 2146515 2349127 2473603 3203355 3373095 4484697 4722333 7047381 7420809 7474495 7870555 11745635 12368015 16443889 17315221 22423485 23611665 25840397 35236905 37104045 49331667 51945663 77521191 82219445 86576105 129201985 180882779 246658335 259728315 387605955 542648337 904413895 2713241685 4365745751 13097237253 21828728755 30560220257 48023203261 65486186265 91680660771 144069609783 152801101285 240116016305 336162422827 458403303855 528255235871 720348048915 1008487268481 1584765707613 1680812114135 2641276179355 3697786651097 5042436342405 7923828538065 11093359953291 18488933255485 55466799766455