Search a number
-
+
66160111600 = 245211107140527
BaseRepresentation
bin111101100111011100…
…110010111111110000
320022202210220220020201
4331213130302333300
52040443442032400
650221000444544
74531336445512
oct754734627760
9208683826221
1066160111600
1126070727090
12109a4a79754
136314a5543b
1432b8a5dbb2
151ac346606a
hexf67732ff0

66160111600 has 120 divisors (see below), whose sum is σ = 175021440768. Its totient is φ = 23833209600.

The previous prime is 66160111583. The next prime is 66160111631. The reversal of 66160111600 is 611106166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400537 + ... + 541063.

Almost surely, 266160111600 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 66160111600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87510720384).

66160111600 is an abundant number, since it is smaller than the sum of its proper divisors (108861329168).

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

66160111600 is a wasteful number, since it uses less digits than its factorization.

66160111600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140663 (or 140652 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

Adding to 66160111600 its reverse (611106166), we get a palindrome (66771217766).

The spelling of 66160111600 in words is "sixty-six billion, one hundred sixty million, one hundred eleven thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 107 110 176 200 214 220 275 400 428 440 535 550 856 880 1070 1100 1177 1712 2140 2200 2354 2675 4280 4400 4708 5350 5885 8560 9416 10700 11770 18832 21400 23540 29425 42800 47080 58850 94160 117700 140527 235400 281054 470800 562108 702635 1124216 1405270 1545797 2248432 2810540 3091594 3513175 5621080 6183188 7026350 7728985 11242160 12366376 14052700 15036389 15457970 24732752 28105400 30072778 30915940 38644925 56210800 60145556 61831880 75181945 77289850 120291112 123663760 150363890 154579700 165400279 240582224 300727780 309159400 330800558 375909725 601455560 618318800 661601116 751819450 827001395 1202911120 1323202232 1503638900 1654002790 2646404464 3007277800 3308005580 4135006975 6014555600 6616011160 8270013950 13232022320 16540027900 33080055800 66160111600