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66640246660 = 225132961144889
BaseRepresentation
bin111110000100000100…
…010111011110000100
320101000021101021201201
4332010010113132010
52042434400343120
650340351432244
74546256515261
oct760404273604
9211007337651
1066640246660
1126297755719
1210ab9825684
136390373720
143322724268
151b006a840a
hexf84117784

66640246660 has 96 divisors (see below), whose sum is σ = 158463295200. Its totient is φ = 23367536640.

The previous prime is 66640246637. The next prime is 66640246661. The reversal of 66640246660 is 6664204666.

It can be written as a sum of positive squares in 16 ways, for example, as 37201922884 + 29438323776 = 192878^2 + 171576^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66640246660.

It is not an unprimeable number, because it can be changed into a prime (66640246661) 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, 387496 + ... + 532384.

It is an arithmetic number, because the mean of its divisors is an integer number (1650659325).

Almost surely, 266640246660 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 66640246660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79231647600).

66640246660 is an abundant number, since it is smaller than the sum of its proper divisors (91823048540).

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

66640246660 is a wasteful number, since it uses less digits than its factorization.

66640246660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145001 (or 144999 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 46.

The spelling of 66640246660 in words is "sixty-six billion, six hundred forty million, two hundred forty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 61 65 116 122 130 145 244 260 290 305 377 580 610 754 793 1220 1508 1586 1769 1885 3172 3538 3770 3965 7076 7540 7930 8845 15860 17690 22997 35380 45994 91988 114985 144889 229970 289778 459940 579556 724445 1448890 1883557 2897780 3767114 4201781 7534228 8403562 8838229 9417785 16807124 17676458 18835570 21008905 35352916 37671140 42017810 44191145 54623153 84035620 88382290 109246306 114896977 176764580 218492612 229793954 256308641 273115765 459587908 512617282 546231530 574484885 1025234564 1092463060 1148969770 1281543205 2297939540 2563086410 3332012333 5126172820 6664024666 13328049332 16660061665 33320123330 66640246660