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10206440423055 = 3351759233323507
BaseRepresentation
bin1001010010000101111101…
…0000010111111010001111
31100010201121101022022212000
42110201133100113322033
52314210242222014210
633412435103443343
72102251052111022
oct224413720277217
940121541268760
1010206440423055
1132855885a03a8
12118a0b02b6553
13590603868cc6
14273dcc7071b9
1512a75d9eaac0
hex9485f417e8f

10206440423055 has 128 divisors (see below), whose sum is σ = 19621666022400. Its totient is φ = 5014767439872.

The previous prime is 10206440422991. The next prime is 10206440423071. The reversal of 10206440423055 is 55032404460201.

10206440423055 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 644 + 0 + 4 + 2 + 3 + 0 + 5 + 5 = 666.

It is not a de Polignac number, because 10206440423055 - 26 = 10206440422991 is a prime.

It is a super-2 number, since 2×102064404230552 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31387612 + ... + 31711118.

It is an arithmetic number, because the mean of its divisors is an integer number (153294265800).

Almost surely, 210206440423055 is an apocalyptic number.

10206440423055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10206440423055 is a deficient number, since it is larger than the sum of its proper divisors (9415225599345).

10206440423055 is a wasteful number, since it uses less digits than its factorization.

10206440423055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323830 (or 323824 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 10206440423055 its reverse (55032404460201), we get a palindrome (65238844883256).

The spelling of 10206440423055 in words is "ten trillion, two hundred six billion, four hundred forty million, four hundred twenty-three thousand, fifty-five".

Divisors: 1 3 5 9 15 17 27 45 51 59 85 135 153 177 233 255 295 459 531 699 765 885 1003 1165 1593 2097 2295 2655 3009 3495 3961 5015 6291 7965 9027 10485 11883 13747 15045 19805 27081 31455 35649 41241 45135 59415 68735 106947 123723 135405 178245 206205 233699 323507 371169 534735 618615 701097 970521 1168495 1617535 1855845 2103291 2911563 3505485 4852605 5499619 6309873 8734689 10516455 14557815 16498857 19086913 27498095 31549365 43673445 49496571 57260739 75377131 82494285 95434565 148489713 171782217 226131393 247482855 286303695 324477521 376885655 515346651 678394179 742448565 858911085 973432563 1130656965 1281411227 1622387605 2035182537 2576733255 2920297689 3391970895 3844233681 4447250729 4867162815 6407056135 8760893067 10175912685 11532701043 13341752187 14601488445 19221168405 22236253645 34598103129 40025256561 43804465335 57663505215 66708760935 75603262393 120075769683 172990515645 200126282805 226809787179 378016311965 600378848415 680429361537 1134048935895 2041288084611 3402146807685 10206440423055