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12352055688 = 233379079007
BaseRepresentation
bin10111000000011110…
…10110100110001000
31011212211120102222000
423200033112212020
5200244111240223
65401403231000
7615044512110
oct134017264610
934784512860
1012352055688
115269460295
122488818460
13121b08a5bb
148526a2040
154c4613543
hex2e03d6988

12352055688 has 128 divisors (see below), whose sum is σ = 39260467200. Its totient is φ = 3524876352.

The previous prime is 12352055669. The next prime is 12352055689. The reversal of 12352055688 is 88655025321.

12352055688 is a `hidden beast` number, since 12 + 3 + 5 + 2 + 0 + 556 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (12352055689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1366881 + ... + 1375887.

It is an arithmetic number, because the mean of its divisors is an integer number (306722400).

Almost surely, 212352055688 is an apocalyptic number.

12352055688 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 12352055688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19630233600).

12352055688 is an abundant number, since it is smaller than the sum of its proper divisors (26908411512).

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

12352055688 is a wasteful number, since it uses less digits than its factorization.

12352055688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9936 (or 9926 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 12352055688 in words is "twelve billion, three hundred fifty-two million, fifty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 907 1512 1814 2721 3628 5442 6349 7256 8163 9007 10884 12698 16326 18014 19047 21768 24489 25396 27021 32652 36028 38094 48978 50792 54042 57141 63049 65304 72056 76188 81063 97956 108084 114282 126098 152376 162126 171423 189147 195912 216168 228564 243189 252196 324252 342846 378294 457128 486378 504392 567441 648504 685692 756588 972756 1134882 1371384 1513176 1702323 1945512 2269764 3404646 4539528 6809292 8169349 13618584 16338698 24508047 32677396 49016094 57185443 65354792 73524141 98032188 114370886 147048282 171556329 196064376 220572423 228741772 294096564 343112658 441144846 457483544 514668987 588193128 686225316 882289692 1029337974 1372450632 1544006961 1764579384 2058675948 3088013922 4117351896 6176027844 12352055688