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66089298066 = 23112234784211
BaseRepresentation
bin111101100011001110…
…101010100010010010
320022120212200012100020
4331203032222202102
52040322330014231
650205551004310
74526516523201
oct754316524222
9208525605306
1066089298066
112603475a900
1210985209696
13630319053c
1432ad4a9238
151abc129396
hexf633aa892

66089298066 has 96 divisors (see below), whose sum is σ = 154831509504. Its totient is φ = 18748514400.

The previous prime is 66089298031. The next prime is 66089298083.

66089298066 is nontrivially palindromic in base 10.

66089298066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742701 + ... + 826911.

It is an arithmetic number, because the mean of its divisors is an integer number (1612828224).

Almost surely, 266089298066 is an apocalyptic number.

66089298066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66089298066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77415754752).

66089298066 is an abundant number, since it is smaller than the sum of its proper divisors (88742211438).

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

66089298066 is a wasteful number, since it uses less digits than its factorization.

66089298066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84308 (or 84297 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 66089298066 in words is "sixty-six billion, eighty-nine million, two hundred ninety-eight thousand, sixty-six".

Divisors: 1 2 3 6 11 22 23 33 46 47 66 69 94 121 138 141 242 253 282 363 506 517 726 759 1034 1081 1518 1551 2162 2783 3102 3243 5566 5687 6486 8349 11374 11891 16698 17061 23782 34122 35673 71346 84211 130801 168422 252633 261602 392403 505266 784806 926321 1852642 1936853 2778963 3873706 3957917 5557926 5810559 7915834 10189531 11621118 11873751 20379062 21305383 23747502 30568593 42610766 43537087 61137186 63916149 87074174 91032091 127832298 130611261 182064182 234359213 261222522 273096273 468718426 478907957 546192546 703077639 957815914 1001353001 1406155278 1436723871 2002706002 2873447742 3004059003 6008118006 11014883011 22029766022 33044649033 66089298066