Search a number
-
+
55421366312455 = 5111319163123720233
BaseRepresentation
bin11001001100111110010101…
…10110100001111000000111
321021020020020022022220010121
430212133022312201320013
524231010424233444310
6313512120232202411
714450030056636363
oct1446371266417007
9237206208286117
1055421366312455
11167280844a6810
126271047539407
1324c029b8b53c0
14d985a0a9c2a3
156619849340da
hex3267cada1e07

55421366312455 has 128 divisors (see below), whose sum is σ = 82820293678080. Its totient is φ = 35001450639360.

The previous prime is 55421366312381. The next prime is 55421366312461.

55421366312455 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55421366312455 - 29 = 55421366311943 is a prime.

It is a super-3 number, since 3×554213663124553 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2739147019 + ... + 2739167251.

It is an arithmetic number, because the mean of its divisors is an integer number (647033544360).

Almost surely, 255421366312455 is an apocalyptic number.

55421366312455 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55421366312455 is a deficient number, since it is larger than the sum of its proper divisors (27398927365625).

55421366312455 is a wasteful number, since it uses less digits than its factorization.

55421366312455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21681.

The product of its digits is 12960000, while the sum is 52.

The spelling of 55421366312455 in words is "fifty-five trillion, four hundred twenty-one billion, three hundred sixty-six million, three hundred twelve thousand, four hundred fifty-five".

Divisors: 1 5 11 13 19 55 65 95 143 163 209 247 715 815 1045 1235 1237 1793 2119 2717 3097 6185 8965 10595 13585 13607 15485 16081 20233 23309 23503 34067 40261 68035 80405 101165 116545 117515 170335 176891 201305 201631 222563 258533 263029 305539 384427 442871 884455 1008155 1112815 1292665 1315145 1527695 1922135 2214355 2217941 2621203 2893319 3297979 3360929 3830989 4228697 4997551 11089705 13106015 14466595 16489895 16804645 19154945 21143485 24987755 25028221 28833233 36277769 42140879 42873727 49802857 54973061 62661601 125141105 144166165 181388845 210704395 214368635 249014285 274865305 275310431 313308005 325366873 471610997 475536199 547831427 689277611 814600813 1376552155 1626834365 2358054985 2377680995 2739157135 3446388055 3579035603 4073004065 4079600023 5230898189 6181970587 8960608943 17895178015 20398000115 26154490945 30909852935 44803044715 44875600253 53034800299 68001676457 77512400437 224378001265 265174001495 340008382285 387562002185 583382803289 852636404807 1007661205681 2916914016445 4263182024035 5038306028405 11084273262491 55421366312455