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104643530046 = 23311397457971
BaseRepresentation
bin110000101110100111…
…1011000110100111110
3101000002210021002222000
41201131033120310332
53203302220430141
6120023402003130
710363110220656
oct1413517306476
9330083232860
10104643530046
11404195a9a40
1218344aa64a6
139b3885b263
1450c9a4d366
152ac6c2a5b6
hex185d3d8d3e

104643530046 has 128 divisors (see below), whose sum is σ = 255139269120. Its totient is φ = 31528569600.

The previous prime is 104643530011. The next prime is 104643530071. The reversal of 104643530046 is 640035346401.

104643530046 is a `hidden beast` number, since 1 + 0 + 4 + 643 + 5 + 3 + 0 + 0 + 4 + 6 = 666.

It is a congruent 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, 107768341 + ... + 107769311.

It is an arithmetic number, because the mean of its divisors is an integer number (1993275540).

Almost surely, 2104643530046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104643530046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127569634560).

104643530046 is an abundant number, since it is smaller than the sum of its proper divisors (150495739074).

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

104643530046 is a wasteful number, since it uses less digits than its factorization.

104643530046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 104643530046 its reverse (640035346401), we get a palindrome (744678876447).

The spelling of 104643530046 in words is "one hundred four billion, six hundred forty-three million, five hundred thirty thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 397 457 594 794 914 971 1191 1371 1942 2382 2742 2913 3573 4113 4367 5027 5826 7146 8226 8734 8739 10054 10681 10719 12339 13101 15081 17478 21362 21438 24678 26202 26217 30162 32043 39303 45243 52434 64086 78606 90486 96129 117909 135729 181429 192258 235818 271458 288387 362858 385487 443747 544287 576774 770974 887494 1088574 1156461 1331241 1632861 1995719 2312922 2662482 3265722 3469383 3991438 3993723 4240357 4881217 4898583 5987157 6938766 7987446 8480714 9762434 9797166 10408149 11974314 11981169 12721071 14643651 17961471 20816298 23962338 25442142 29287302 35922942 38163213 43930953 53884413 76326426 87861906 107768826 114489639 131792859 176167559 228979278 263585718 352335118 528502677 1057005354 1585508031 1937843149 3171016062 3875686298 4756524093 5813529447 9513048186 11627058894 17440588341 34881176682 52321765023 104643530046