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55779733797755 = 51167731031201121
BaseRepresentation
bin11001010111011001110110…
…01101111111101101111011
321022111111020112222101110112
430223230323031333231323
524302343343323012010
6314344504515134535
714514644542205462
oct1453547315775573
9238444215871415
1055779733797755
1116856063610670
12630a59bba444b
132518010b92956
14daba799379d9
1566ae5b372a05
hex32bb3b37fb7b

55779733797755 has 64 divisors (see below), whose sum is σ = 75199058850816. Its totient is φ = 39375756288000.

The previous prime is 55779733797721. The next prime is 55779733797883.

55779733797755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55779733797755 - 232 = 55775438830459 is a prime.

It is a super-2 number, since 2×557797337977552 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277243595 + ... + 277444715.

It is an arithmetic number, because the mean of its divisors is an integer number (1174985294544).

Almost surely, 255779733797755 is an apocalyptic number.

55779733797755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55779733797755 is a deficient number, since it is larger than the sum of its proper divisors (19419325053061).

55779733797755 is a wasteful number, since it uses less digits than its factorization.

55779733797755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202308.

The product of its digits is 53603825625, while the sum is 86.

The spelling of 55779733797755 in words is "fifty-five trillion, seven hundred seventy-nine billion, seven hundred thirty-three million, seven hundred ninety-seven thousand, seven hundred fifty-five".

Divisors: 1 5 11 55 67 73 335 365 737 803 1031 3685 4015 4891 5155 11341 24455 53801 56705 69077 75263 201121 269005 345385 376315 759847 827893 1005605 2212331 3799235 4139465 5042621 11061655 13475107 14681833 25213105 55468831 67375535 73409165 148226177 161500163 207355751 277344155 741130885 807500815 983682811 1036778755 2280913261 4918414055 10820510921 11404566305 13892835317 15136969823 54102554605 69464176585 75684849115 152821188487 166506668053 764105942435 832533340265 1014176978141 5070884890705 11155946759551 55779733797755