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3463064030104 = 237419733746141
BaseRepresentation
bin110010011001001110101…
…100111000101110011000
3110021001202212221022022121
4302121032230320232120
5423214323342430404
611210524252431024
7505124645366140
oct62311654705630
913231685838277
103463064030104
11111574a3aa318
1247b1b9178474
131c174763b093
14bd882861920
1560137880e54
hex3264eb38b98

3463064030104 has 128 divisors (see below), whose sum is σ = 7703174344320. Its totient is φ = 1428760166400.

The previous prime is 3463064030089. The next prime is 3463064030147. The reversal of 3463064030104 is 4010304603643.

3463064030104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3463064030104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75030874 + ... + 75077014.

It is an arithmetic number, because the mean of its divisors is an integer number (60181049565).

Almost surely, 23463064030104 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 3463064030104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851587172160).

3463064030104 is an abundant number, since it is smaller than the sum of its proper divisors (4240110314216).

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

3463064030104 is a wasteful number, since it uses less digits than its factorization.

3463064030104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46629 (or 46625 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 3463064030104 its reverse (4010304603643), we get a palindrome (7473368633747).

The spelling of 3463064030104 in words is "three trillion, four hundred sixty-three billion, sixty-four million, thirty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 41 56 82 97 164 194 287 328 337 388 574 674 679 776 1148 1348 1358 2296 2359 2696 2716 3977 4718 5432 7954 9436 13817 15908 18872 27634 27839 31816 32689 46141 55268 55678 65378 92282 96719 110536 111356 130756 184564 193438 222712 228823 261512 322987 369128 386876 457646 645974 773752 915292 1291948 1340249 1830584 1891781 2583896 2680498 3783562 4475677 5360996 7567124 8951354 9381743 10721992 13242467 15134248 15549517 17902708 18763486 26484934 31099034 31329739 35805416 37526972 52969868 62198068 62659478 75053944 105939736 108846619 124396136 125318956 183502757 217693238 250637912 367005514 435386476 637530197 734011028 870772952 1275060394 1284519299 1468022056 1508303149 2550120788 2569038598 3016606298 4462711379 5100241576 5138077196 6033212596 8925422758 10276154392 10558122043 12066425192 17850845516 21116244086 35701691032 42232488172 61840429109 84464976344 123680858218 247361716436 432883003763 494723432872 865766007526 1731532015052 3463064030104