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55665561105 = 325711113142169
BaseRepresentation
bin110011110101111011…
…010000111000010001
312022200102120111101100
4303311323100320101
51403000340423410
641323350055013
74010305314420
oct636573207021
9168612514340
1055665561105
1121675837a60
12a95634a469
13533177044b
1429a0d632b7
1516abe698c0
hexcf5ed0e11

55665561105 has 96 divisors (see below), whose sum is σ = 121360861440. Its totient is φ = 22928855040.

The previous prime is 55665561079. The next prime is 55665561121. The reversal of 55665561105 is 50116556655.

It is not a de Polignac number, because 55665561105 - 28 = 55665560849 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 320461 + ... + 462629.

It is an arithmetic number, because the mean of its divisors is an integer number (1264175640).

Almost surely, 255665561105 is an apocalyptic number.

55665561105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55665561105 is an abundant number, since it is smaller than the sum of its proper divisors (65695300335).

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

55665561105 is a wasteful number, since it uses less digits than its factorization.

55665561105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142311 (or 142308 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 55665561105 in words is "fifty-five billion, six hundred sixty-five million, five hundred sixty-one thousand, one hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 113 165 231 315 339 385 495 565 693 791 1017 1155 1243 1695 2373 3465 3729 3955 5085 6215 7119 8701 11187 11865 18645 26103 35595 43505 55935 78309 130515 142169 391545 426507 710845 995183 1279521 1563859 2132535 2985549 4691577 4975915 6397605 7819295 8956647 10947013 14074731 14927745 16065097 23457885 32841039 44783235 48195291 54735065 70373655 80325485 98523117 112455679 144585873 164205195 176716067 240976455 337367037 492615585 530148201 562278395 722929365 883580335 1012101111 1237012469 1590444603 1686835185 2650741005 3711037407 5060505555 6185062345 7952223015 11133112221 18555187035 55665561105