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60668311860 = 2232513233311113
BaseRepresentation
bin111000100000000111…
…001111100100110100
312210121002010120021100
4320200013033210310
51443222041434420
643512020250100
74245263066532
oct704007174464
9183532116240
1060668311860
1123802753712
12b911840930
13594b0530b0
142d1753d152
1518a1266190
hexe201cf934

60668311860 has 144 divisors (see below), whose sum is σ = 198285940944. Its totient is φ = 14925993984.

The previous prime is 60668311831. The next prime is 60668311867. The reversal of 60668311860 is 6811386606.

60668311860 is a `hidden beast` number, since 606 + 6 + 8 + 31 + 1 + 8 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25514311824 + 35154000036 = 159732^2 + 187494^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60668311867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5453664 + ... + 5464776.

It is an arithmetic number, because the mean of its divisors is an integer number (1376985701).

Almost surely, 260668311860 is an apocalyptic number.

60668311860 is a gapful number since it is divisible by the number (60) 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 60668311860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99142970472).

60668311860 is an abundant number, since it is smaller than the sum of its proper divisors (137617629084).

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

60668311860 is a wasteful number, since it uses less digits than its factorization.

60668311860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13474 (or 13469 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 60668311860 in words is "sixty billion, six hundred sixty-eight million, three hundred eleven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2333 2340 4666 6999 9332 11113 11665 13998 20997 22226 23330 27996 30329 33339 34995 41994 44452 46660 55565 60658 66678 69990 83988 90987 100017 104985 111130 121316 133356 139980 144469 151645 166695 181974 200034 209970 222260 272961 288938 303290 333390 363948 400068 419940 433407 454935 500085 545922 577876 606580 666780 722345 866814 909870 1000170 1091844 1300221 1364805 1444690 1733628 1819740 2000340 2167035 2600442 2729610 2889380 4334070 5200884 5459220 6501105 8668140 13002210 25926629 26004420 51853258 77779887 103706516 129633145 155559774 233339661 259266290 311119548 337046177 388899435 466679322 518532580 674092354 777798870 933358644 1011138531 1166698305 1348184708 1555597740 1685230885 2022277062 2333396610 3033415593 3370461770 4044554124 4666793220 5055692655 6066831186 6740923540 10111385310 12133662372 15167077965 20222770620 30334155930 60668311860