Search a number
-
+
55816055061855 = 3511265537469241
BaseRepresentation
bin11001011000011101100000…
…01000100111110101011111
321022121221222211211210000020
430230032300020213311133
524303442240043434410
6314413313002003223
714520401606644644
oct1454166010476537
9238557884753006
1055816055061855
111686a501a62a00
126315637aa6513
13251b57ba581ba
14dad7236dbdcb
1566bd84de3a70
hex32c3b0227d5f

55816055061855 has 48 divisors (see below), whose sum is σ = 98164157569632. Its totient is φ = 27061859123200.

The previous prime is 55816055061827. The next prime is 55816055061859.

55816055061855 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55816055061855 - 219 = 55816054537567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55816055061859) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118715035 + ... + 119184275.

It is an arithmetic number, because the mean of its divisors is an integer number (2045086616034).

Almost surely, 255816055061855 is an apocalyptic number.

55816055061855 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55816055061855 is a deficient number, since it is larger than the sum of its proper divisors (42348102507777).

55816055061855 is a wasteful number, since it uses less digits than its factorization.

55816055061855 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534808 (or 534797 counting only the distinct ones).

The product of its (nonzero) digits is 36000000, while the sum is 60.

The spelling of 55816055061855 in words is "fifty-five trillion, eight hundred sixteen billion, fifty-five million, sixty-one thousand, eight hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 121 165 363 605 1815 65537 196611 327685 469241 720907 983055 1407723 2162721 2346205 3604535 5161651 7038615 7929977 10813605 15484953 23789931 25808255 39649885 56778161 77424765 118949655 170334483 283890805 851672415 30752647417 92257942251 153763237085 338279121587 461289711255 1014837364761 1691395607935 3721070337457 5074186823805 11163211012371 18605351687285 55816055061855