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104161603412334 = 2313174715831055809
BaseRepresentation
bin10111101011110000000011…
…010111101110000101101110
3111122210202022020100011102210
4113223300003113232011232
5102123040430433143314
61005311102514431250
730640266430403166
oct2753600327560556
9448722266304383
10104161603412334
1130209762703366
12b823272292526
13461752143a290
141ba163c9a75a6
15c09737d8c559
hex5ebc035ee16e

104161603412334 has 128 divisors (see below), whose sum is σ = 242752646062080. Its totient is φ = 29503971753984.

The previous prime is 104161603412329. The next prime is 104161603412353. The reversal of 104161603412334 is 433214306161401.

104161603412334 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 104161603412292 and 104161603412301.

It is a congruent number.

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, 98127822 + ... + 99183630.

It is an arithmetic number, because the mean of its divisors is an integer number (1896505047360).

Almost surely, 2104161603412334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104161603412334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121376323031040).

104161603412334 is an abundant number, since it is smaller than the sum of its proper divisors (138591042649746).

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

104161603412334 is a wasteful number, since it uses less digits than its factorization.

104161603412334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057474.

The product of its (nonzero) digits is 124416, while the sum is 39.

Adding to 104161603412334 its reverse (433214306161401), we get a palindrome (537375909573735).

The spelling of 104161603412334 in words is "one hundred four trillion, one hundred sixty-one billion, six hundred three million, four hundred twelve thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 17 26 34 39 47 51 78 94 102 141 221 282 442 611 663 799 1222 1326 1583 1598 1833 2397 3166 3666 4749 4794 9498 10387 20579 20774 26911 31161 41158 53822 61737 62322 74401 80733 123474 148802 161466 223203 349843 446406 699686 967213 1049529 1055809 1264817 1934426 2099058 2111618 2529634 2901639 3167427 3794451 5803278 6334854 7588902 13725517 16442621 17948753 27451034 32885242 35897506 41176551 49327863 49623023 53846259 82353102 98655726 99246046 107692518 148869069 233333789 297738138 466667578 645099299 700001367 843591391 1290198598 1400002734 1671345647 1687182782 1935297897 2530774173 3342691294 3870595794 5014036941 5061548346 10028073882 10966688083 21727493411 21933376166 28412875999 32900064249 43454986822 56825751998 65182480233 65800128498 78553245409 85238627997 130364960466 157106490818 170477255994 235659736227 369367387987 471319472454 738734775974 1021192190317 1108102163961 1335405171953 2042384380634 2216204327922 2670810343906 3063576570951 4006215515859 6127153141902 8012431031718 17360267235389 34720534470778 52080801706167 104161603412334