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106366859928 = 23327601351157
BaseRepresentation
bin110001100001111110…
…1010111101010011000
3101011112220000100010200
41203003331113222120
53220314404004203
6120510402542200
710453604251230
oct1430375275230
9334486010120
10106366859928
114112335720a
1218746067960
13a0518b5794
145210888cc0
152b7818b9a3
hex18c3f57a98

106366859928 has 96 divisors (see below), whose sum is σ = 329779500960. Its totient is φ = 30339878400.

The previous prime is 106366859917. The next prime is 106366859933. The reversal of 106366859928 is 829958663601.

106366859928 is a `hidden beast` number, since 1 + 0 + 6 + 36 + 6 + 8 + 599 + 2 + 8 = 666.

It is a super-2 number, since 2×1063668599282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127326 + ... + 478482.

It is an arithmetic number, because the mean of its divisors is an integer number (3435203135).

Almost surely, 2106366859928 is an apocalyptic number.

106366859928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106366859928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164889750480).

106366859928 is an abundant number, since it is smaller than the sum of its proper divisors (223412641032).

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

106366859928 is a wasteful number, since it uses less digits than its factorization.

106366859928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351777 (or 351770 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 106366859928 in words is "one hundred six billion, three hundred sixty-six million, eight hundred fifty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 601 1202 1803 2404 3606 4207 4808 5409 7212 8414 10818 12621 14424 16828 21636 25242 33656 37863 43272 50484 75726 100968 151452 302904 351157 702314 1053471 1404628 2106942 2458099 2809256 3160413 4213884 4916198 6320826 7374297 8427768 9832396 12641652 14748594 19664792 22122891 25283304 29497188 44245782 58994376 88491564 176983128 211045357 422090714 633136071 844181428 1266272142 1477317499 1688362856 1899408213 2532544284 2954634998 3798816426 4431952497 5065088568 5909269996 7597632852 8863904994 11818539992 13295857491 15195265704 17727809988 26591714982 35455619976 53183429964 106366859928