Search a number
-
+
12055115560 = 2352971197743
BaseRepresentation
bin10110011101000101…
…00111011100101000
31011010010211022200111
423032202213130220
5144142102144220
65312114544104
7604510535335
oct131642473450
934103738614
1012055115560
115126886824
122405298034
1311a16c1497
1482508798c
154a850b15a
hex2ce8a7728

12055115560 has 128 divisors (see below), whose sum is σ = 28637452800. Its totient is φ = 4560747520.

The previous prime is 12055115509. The next prime is 12055115561. The reversal of 12055115560 is 6551155021.

12055115560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120551155602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12055115561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16224549 + ... + 16225291.

It is an arithmetic number, because the mean of its divisors is an integer number (223730100).

Almost surely, 212055115560 is an apocalyptic number.

12055115560 is a gapful number since it is divisible by the number (10) 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 12055115560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14318726400).

12055115560 is an abundant number, since it is smaller than the sum of its proper divisors (16582337240).

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

12055115560 is a wasteful number, since it uses less digits than its factorization.

12055115560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 31.

The spelling of 12055115560 in words is "twelve billion, fifty-five million, one hundred fifteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 71 116 142 145 197 232 284 290 355 394 568 580 710 743 788 985 1160 1420 1486 1576 1970 2059 2840 2972 3715 3940 4118 5713 5944 7430 7880 8236 10295 11426 13987 14860 16472 20590 21547 22852 27974 28565 29720 41180 43094 45704 52753 55948 57130 69935 82360 86188 105506 107735 111896 114260 139870 146371 172376 211012 215470 228520 263765 279740 292742 405623 422024 430940 527530 559480 585484 731855 811246 861880 1055060 1170968 1463710 1529837 1622492 2028115 2110120 2927420 3059674 3244984 4056230 4244759 5854840 6119348 7649185 8112460 8489518 10392341 12238696 15298370 16224920 16979036 20784682 21223795 30596740 33958072 41569364 42447590 51961705 61193480 83138728 84895180 103923410 169790360 207846820 301377889 415693640 602755778 1205511556 1506889445 2411023112 3013778890 6027557780 12055115560