Search a number
-
+
60055254160 = 245111031933433
BaseRepresentation
bin110111111011100100…
…100111010010010000
312202000100120000012121
4313323210213102100
51440443121113120
643331120304024
74224140144356
oct677344472220
9182010500177
1060055254160
1123518697360
12b780472014
135881034c65
142c99d577d6
1518675195aa
hexdfb927490

60055254160 has 160 divisors (see below), whose sum is σ = 154642745088. Its totient is φ = 21507932160.

The previous prime is 60055254139. The next prime is 60055254167. The reversal of 60055254160 is 6145255006.

It is not an unprimeable number, because it can be changed into a prime (60055254167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17491804 + ... + 17495236.

Almost surely, 260055254160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60055254160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77321372544).

60055254160 is an abundant number, since it is smaller than the sum of its proper divisors (94587490928).

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

60055254160 is a wasteful number, since it uses less digits than its factorization.

60055254160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 60055254160 in words is "sixty billion, fifty-five million, two hundred fifty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 103 110 176 193 206 220 386 412 440 515 772 824 880 965 1030 1133 1544 1648 1930 2060 2123 2266 3088 3433 3860 4120 4246 4532 5665 6866 7720 8240 8492 9064 10615 11330 13732 15440 16984 17165 18128 19879 21230 22660 27464 33968 34330 37763 39758 42460 45320 54928 68660 75526 79516 84920 90640 99395 137320 151052 159032 169840 188815 198790 218669 274640 302104 318064 353599 377630 397580 437338 604208 662569 707198 755260 795160 874676 1093345 1325138 1414396 1510520 1590320 1749352 1767995 2186690 2650276 2828792 3021040 3312845 3498704 3535990 3889589 4373380 5300552 5657584 6625690 7071980 7288259 7779178 8746760 10601104 13251380 14143960 14576518 15558356 17493520 19447945 26502760 28287920 29153036 31116712 36441295 38895890 53005520 58306072 62233424 68244607 72882590 77791780 116612144 136489214 145765180 155583560 272978428 291530360 311167120 341223035 545956856 583060720 682446070 750690677 1091913712 1364892140 1501381354 2729784280 3002762708 3753453385 5459568560 6005525416 7506906770 12011050832 15013813540 30027627080 60055254160