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55043466434055 = 33511236126419321
BaseRepresentation
bin11001000001111110011100…
…10000111001011000000111
321012220002210211001000122000
430200333032100321120013
524203313004401342210
6313022341442240343
714410521260653641
oct1440771620713007
9235802724030560
1055043466434055
11165a1891904920
12620b9616560b3
132493765a82cb8
14d84191a9d891
15656c18344ac0
hex320fce439607

55043466434055 has 128 divisors (see below), whose sum is σ = 113218419271680. Its totient is φ = 25108921728000.

The previous prime is 55043466434003. The next prime is 55043466434057.

55043466434055 is a `hidden beast` number, since 5 + 50 + 4 + 3 + 466 + 43 + 40 + 55 = 666.

55043466434055 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55043466434055 - 210 = 55043466433031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 55043466433992 and 55043466434010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55043466434057) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11126206 + ... + 15293115.

It is an arithmetic number, because the mean of its divisors is an integer number (884518900560).

Almost surely, 255043466434055 is an apocalyptic number.

55043466434055 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55043466434055 is an abundant number, since it is smaller than the sum of its proper divisors (58174952837625).

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

55043466434055 is a wasteful number, since it uses less digits than its factorization.

55043466434055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26419430 (or 26419424 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 54.

The spelling of 55043466434055 in words is "fifty-five trillion, forty-three billion, four hundred sixty-six million, four hundred thirty-four thousand, fifty-five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 61 69 99 115 135 165 183 207 253 297 305 345 495 549 621 671 759 915 1035 1265 1403 1485 1647 2013 2277 2745 3105 3355 3795 4209 6039 6831 7015 8235 10065 11385 12627 15433 18117 21045 30195 34155 37881 46299 63135 77165 90585 138897 189405 231495 416691 694485 2083455 26419321 79257963 132096605 237773889 290612531 396289815 607644383 713321667 871837593 1188869445 1453062655 1611578581 1822933149 2615512779 3038221915 3566608335 4359187965 4834735743 5468799447 6684088213 7846538337 8057892905 9114665745 13077563895 14504207229 16406398341 17727364391 20052264639 24173678715 27343997235 33420441065 37066307363 39232691685 43512621687 53182093173 60156793917 72521036145 82031991705 88636821955 100261323195 111198922089 159546279519 180470381751 185331536815 217563108435 265910465865 300783969585 333596766267 407729380993 478638838557 555994610445 797731397595 902351908755 1000790298801 1223188142979 1667983831335 2038646904965 2393194192785 3669564428937 5003951494005 6115940714895 11008693286811 18347822144685 55043466434055