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66060000540 = 223253799110009
BaseRepresentation
bin111101100001011110…
…111001110100011100
320022111211112201200200
4331201132321310130
52040242330004130
650203023023500
74526012511522
oct754136716434
9208454481620
1066060000540
112601a16a176
121097743ab90
1362ca0a3221
1432a9640312
151ab978d760
hexf617b9d1c

66060000540 has 144 divisors (see below), whose sum is σ = 206025980160. Its totient is φ = 17120885760.

The previous prime is 66060000499. The next prime is 66060000541. The reversal of 66060000540 is 4500006066.

66060000540 is a `hidden beast` number, since 6 + 6 + 0 + 600 + 0 + 0 + 54 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66060000541) 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, 6595056 + ... + 6605064.

Almost surely, 266060000540 is an apocalyptic number.

66060000540 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 66060000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103012990080).

66060000540 is an abundant number, since it is smaller than the sum of its proper divisors (139965979620).

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

66060000540 is a wasteful number, since it uses less digits than its factorization.

66060000540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11052 (or 11047 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 66060000540 in words is "sixty-six billion, sixty million, five hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 991 1110 1332 1665 1982 2220 2973 3330 3964 4955 5946 6660 8919 9910 10009 11892 14865 17838 19820 20018 29730 30027 35676 36667 40036 44595 50045 59460 60054 73334 89190 90081 100090 110001 120108 146668 150135 178380 180162 183335 200180 220002 300270 330003 360324 366670 370333 440004 450405 550005 600540 660006 733340 740666 900810 1100010 1110999 1320012 1481332 1650015 1801620 1851665 2200020 2221998 3300030 3332997 3703330 4443996 5554995 6600060 6665994 7406660 9918919 11109990 13331988 16664985 19837838 22219980 29756757 33329970 39675676 49594595 59513514 66659940 89270271 99189190 119027028 148783785 178540542 198378380 297567570 357081084 367000003 446351355 595135140 734000006 892702710 1101000009 1468000012 1785405420 1835000015 2202000018 3303000027 3670000030 4404000036 5505000045 6606000054 7340000060 11010000090 13212000108 16515000135 22020000180 33030000270 66060000540