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55550005505505 = 345722799194029
BaseRepresentation
bin11001010000101101111100…
…10110000110110111100001
321021200112021101122222120000
430220112332112012313201
524240112402402134010
6314051153100410213
714462232631015500
oct1450267626066741
9237615241588500
1055550005505505
1116777696a164a5
126291b68546969
1324cc45c881904
14da08c5538837
15664eb30957c0
hex3285be586de1

55550005505505 has 60 divisors (see below), whose sum is σ = 115836247349460. Its totient is φ = 25394288222016.

The previous prime is 55550005505483. The next prime is 55550005505549. The reversal of 55550005505505 is 50550550005555.

It can be written as a sum of positive squares in 2 ways, for example, as 31281100888401 + 24268904617104 = 5592951^2 + 4926348^2 .

It is not a de Polignac number, because 55550005505505 - 212 = 55550005501409 is a prime.

It is a super-2 number, since 2×555500055055052 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1399577170 + ... + 1399616859.

It is an arithmetic number, because the mean of its divisors is an integer number (1930604122491).

Almost surely, 255550005505505 is an apocalyptic number.

It is an amenable number.

55550005505505 is an abundant number, since it is smaller than the sum of its proper divisors (60286241843955).

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

55550005505505 is a wasteful number, since it uses less digits than its factorization.

55550005505505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799194060 (or 2799194044 counting only the distinct ones).

The product of its (nonzero) digits is 1953125, while the sum is 45.

The spelling of 55550005505505 in words is "fifty-five trillion, five hundred fifty billion, five million, five hundred five thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 405 441 567 735 945 1323 2205 2835 3969 6615 19845 2799194029 8397582087 13995970145 19594358203 25192746261 41987910435 58783074609 75578238783 97971791015 125963731305 137160507421 176349223827 226734716349 293915373045 377891193915 411481522263 529047671481 685802537105 881746119135 1133673581745 1234444566789 1587143014443 2057407611315 2645238357405 3703333700367 6172222833945 7935715072215 11110001101101 18516668501835 55550005505505