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66086244312 = 233111715679397
BaseRepresentation
bin111101100011000011…
…000000111111011000
320022120122221001101020
4331203003000333120
52040321034304222
650205401322440
74526451544134
oct754303007730
9208518831336
1066086244312
1126032a64540
1210984196420
13630266159a
1432acd123c4
151abbc2465c
hexf630c0fd8

66086244312 has 128 divisors (see below), whose sum is σ = 190979389440. Its totient is φ = 18834094080.

The previous prime is 66086244311. The next prime is 66086244317. The reversal of 66086244312 is 21344268066.

66086244312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66086244311) 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, 7027998 + ... + 7037394.

It is an arithmetic number, because the mean of its divisors is an integer number (1492026480).

Almost surely, 266086244312 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 66086244312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95489694720).

66086244312 is an abundant number, since it is smaller than the sum of its proper divisors (124893145128).

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

66086244312 is a wasteful number, since it uses less digits than its factorization.

66086244312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11001 (or 10997 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 66086244312 in words is "sixty-six billion, eighty-six million, two hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 1567 2244 3134 4488 4701 6268 9397 9402 12536 17237 18794 18804 26639 28191 34474 37588 37608 51711 53278 56382 68948 75176 79917 103367 103422 106556 112764 137896 159749 159834 206734 206844 213112 225528 293029 310101 319498 319668 413468 413688 479247 586058 620202 638996 639336 826936 879087 958494 1172116 1240404 1277992 1757239 1758174 1916988 2344232 2480808 3514478 3516348 3833976 5271717 7028956 7032696 10543434 14057912 14725099 21086868 29450198 42173736 44175297 58900396 88350594 117800792 161976089 176701188 250326683 323952178 353402376 485928267 500653366 647904356 750980049 971856534 1001306732 1295808712 1501960098 1943713068 2002613464 2753593513 3003920196 3887426136 5507187026 6007840392 8260780539 11014374052 16521561078 22028748104 33043122156 66086244312