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58426741422 = 2337311812671
BaseRepresentation
bin110110011010100000…
…010101001010101110
312120210212012222201000
4312122200111022232
51424124221211142
642501343501130
74135604052000
oct663240251256
9176725188630
1058426741422
1122862410665
12b3a6bb77a6
13568182815a
142b83960370
1517be58714c
hexd9a8152ae

58426741422 has 128 divisors (see below), whose sum is σ = 151598592000. Its totient is φ = 16672975200.

The previous prime is 58426741411. The next prime is 58426741453. The reversal of 58426741422 is 22414762485.

58426741422 is a `hidden beast` number, since 584 + 2 + 6 + 7 + 41 + 4 + 22 = 666.

It is a super-2 number, since 2×584267414222 (a number of 22 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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21873147 + ... + 21875817.

It is an arithmetic number, because the mean of its divisors is an integer number (1184364000).

Almost surely, 258426741422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58426741422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75799296000).

58426741422 is an abundant number, since it is smaller than the sum of its proper divisors (93171850578).

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

58426741422 is a wasteful number, since it uses less digits than its factorization.

58426741422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3864 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 58426741422 in words is "fifty-eight billion, four hundred twenty-six million, seven hundred forty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 343 378 441 686 882 1029 1181 1323 2058 2362 2646 2671 3087 3543 5342 6174 7086 8013 8267 9261 10629 16026 16534 18522 18697 21258 24039 24801 31887 37394 48078 49602 56091 57869 63774 72117 74403 112182 115738 130879 144234 148806 168273 173607 223209 261758 336546 347214 392637 405083 446418 504819 520821 785274 810166 916153 1009638 1041642 1177911 1215249 1562463 1832306 2355822 2430498 2748459 3124926 3154451 3533733 3645747 5496918 6308902 7067466 7291494 8245377 9463353 10937241 16490754 18926706 21874482 22081157 24736131 28390059 44162314 49472262 56780118 66243471 85170177 132486942 154568099 170340354 198730413 309136198 397460826 463704297 596191239 927408594 1081976693 1192382478 1391112891 2163953386 2782225782 3245930079 4173338673 6491860158 8346677346 9737790237 19475580474 29213370711 58426741422