Search a number
-
+
66147136242 = 231143731392297
BaseRepresentation
bin111101100110101011…
…010011001011110010
320022201220111200101220
4331212223103023302
52040432131324432
650215414405510
74531121244465
oct754653231362
9208656450356
1066147136242
1126064374550
12109a0660896
136312161505
1432b70432dc
151ac225172c
hexf66ad32f2

66147136242 has 128 divisors (see below), whose sum is σ = 150842926080. Its totient is φ = 19162967040.

The previous prime is 66147136217. The next prime is 66147136261. The reversal of 66147136242 is 24263174166.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 66147136194 and 66147136203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28796038 + ... + 28798334.

It is an arithmetic number, because the mean of its divisors is an integer number (1178460360).

Almost surely, 266147136242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66147136242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75421463040).

66147136242 is an abundant number, since it is smaller than the sum of its proper divisors (84695789838).

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

66147136242 is a wasteful number, since it uses less digits than its factorization.

66147136242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568.

The product of its digits is 290304, while the sum is 42.

The spelling of 66147136242 in words is "sixty-six billion, one hundred forty-seven million, one hundred thirty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 43 66 73 86 129 139 146 219 258 278 417 438 473 803 834 946 1419 1529 1606 2297 2409 2838 3058 3139 4587 4594 4818 5977 6278 6891 9174 9417 10147 11954 13782 17931 18834 20294 25267 30441 34529 35862 50534 60882 65747 69058 75801 98771 103587 111617 131494 151602 167681 197241 197542 207174 223234 296313 319283 334851 335362 394482 436321 503043 592626 638566 669702 872642 957849 1006086 1086481 1308963 1844491 1915698 2172962 2617926 3259443 3512113 3688982 4799531 5533473 6518886 7024226 7210283 9599062 10536339 11066946 13729169 14398593 14420566 21072678 21630849 23307659 27458338 28797186 41187507 43261698 46615318 69922977 79313113 82375014 139845954 151020859 158626226 237939339 256384249 302041718 453062577 475878678 512768498 769152747 906125154 1002229337 1538305494 2004458674 3006688011 6013376022 11024522707 22049045414 33073568121 66147136242