Search a number
-
+
66832069696 = 267315981563
BaseRepresentation
bin111110001111100000…
…000111010001000000
320101111122022220110121
4332033200013101000
52043333002212241
650411403110024
74554106135150
oct761740072100
9211448286417
1066832069696
1126385a63157
1210b51b12314
1363c1026b92
14333ddb8760
151b12449ad1
hexf8f807440

66832069696 has 112 divisors (see below), whose sum is σ = 159108526080. Its totient is φ = 27248232960.

The previous prime is 66832069679. The next prime is 66832069699. The reversal of 66832069696 is 69696023866.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (66832069699) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778611 + ... + 860173.

It is an arithmetic number, because the mean of its divisors is an integer number (1420611840).

Almost surely, 266832069696 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 66832069696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79554263040).

66832069696 is an abundant number, since it is smaller than the sum of its proper divisors (92276456384).

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

66832069696 is a wasteful number, since it uses less digits than its factorization.

66832069696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81672 (or 81662 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 61.

The spelling of 66832069696 in words is "sixty-six billion, eight hundred thirty-two million, sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 59 62 64 112 118 124 217 224 236 248 413 434 448 472 496 826 868 944 992 1652 1736 1829 1888 1984 3304 3472 3658 3776 6608 6944 7316 12803 13216 13888 14632 25606 26432 29264 51212 58528 81563 102424 117056 163126 204848 326252 409696 570941 652504 819392 1141882 1305008 2283764 2528453 2610016 4567528 4812217 5056906 5220032 9135056 9624434 10113812 17699171 18270112 19248868 20227624 33685519 35398342 36540224 38497736 40455248 67371038 70796684 76995472 80910496 134742076 141593368 149178727 153990944 161820992 269484152 283186736 298357454 307981888 538968304 566373472 596714908 1044251089 1077936608 1132746944 1193429816 2088502178 2155873216 2386859632 4177004356 4773719264 8354008712 9547438528 16708017424 33416034848 66832069696