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1656555516055 = 511243210511409
BaseRepresentation
bin11000000110110010011…
…001110011000010010111
312212100212012110101001001
4120012302121303002113
5204120111203003210
63305002221444131
7230452663362346
oct30066231630227
95770765411031
101656555516055
115895a5447800
12229075110647
13c029bb8393b
145a26b913b5d
152d15674403a
hex181b2673097

1656555516055 has 72 divisors (see below), whose sum is σ = 2240723958480. Its totient is φ = 1174795776000.

The previous prime is 1656555516043. The next prime is 1656555516061. The reversal of 1656555516055 is 5506155556561.

It is not a de Polignac number, because 1656555516055 - 223 = 1656547127447 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a junction number, because it is equal to n+sod(n) for n = 1656555515987 and 1656555516005.

It is a congruent 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 71 ways as a sum of consecutive naturals, for example, 1175695191 + ... + 1175696599.

It is an arithmetic number, because the mean of its divisors is an integer number (31121166090).

Almost surely, 21656555516055 is an apocalyptic number.

1656555516055 is a deficient number, since it is larger than the sum of its proper divisors (584168442425).

1656555516055 is a wasteful number, since it uses less digits than its factorization.

1656555516055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 16875000, while the sum is 55.

The spelling of 1656555516055 in words is "one trillion, six hundred fifty-six billion, five hundred fifty-five million, five hundred sixteen thousand, fifty-five".

Divisors: 1 5 11 43 55 121 215 473 605 1051 1409 1849 2365 5203 5255 7045 9245 11561 15499 20339 26015 45193 57805 60587 77495 101695 127171 170489 223729 225965 302935 497123 635855 666457 852445 1118645 1480859 1943299 2485615 2605241 3332285 5468353 7331027 7404295 9716495 13026205 16289449 21376289 27341765 28657651 36655135 63676937 81447245 106881445 143288255 179183939 235139179 315234161 318384685 700446307 895919695 1175695895 1576170805 2738108291 3502231535 7704909377 13690541455 30119191201 38524546885 150595956005 331311103211 1656555516055