Search a number
-
+
14668149764136 = 2331128396020281
BaseRepresentation
bin1101010101110011000111…
…0110110011000000101000
31220221021001120120201200010
43111130301312303000220
53410310332314423021
651110242135211520
73042511265551431
oct325346166630050
956837046521603
1014668149764136
114745800164700
12178a951816ba0
1382527b8ca17b
14389d296d6488
151a6843bed976
hexd5731db3028

14668149764136 has 96 divisors (see below), whose sum is σ = 40355154302400. Its totient is φ = 4439595283200.

The previous prime is 14668149764111. The next prime is 14668149764159. The reversal of 14668149764136 is 63146794186641.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573685 + ... + 5446596.

It is an arithmetic number, because the mean of its divisors is an integer number (420366190650).

Almost surely, 214668149764136 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 14668149764136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20177577151200).

14668149764136 is an abundant number, since it is smaller than the sum of its proper divisors (25687004538264).

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

14668149764136 is a wasteful number, since it uses less digits than its factorization.

14668149764136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6021151 (or 6021136 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 66.

The spelling of 14668149764136 in words is "fourteen trillion, six hundred sixty-eight billion, one hundred forty-nine million, seven hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 839 968 1452 1678 2517 2904 3356 5034 6712 9229 10068 18458 20136 27687 36916 55374 73832 101519 110748 203038 221496 304557 406076 609114 812152 1218228 2436456 6020281 12040562 18060843 24081124 36121686 48162248 66223091 72243372 132446182 144486744 198669273 264892364 397338546 529784728 728454001 794677092 1456908002 1589354184 2185362003 2913816004 4370724006 5051015759 5827632008 8741448012 10102031518 15153047277 17482896024 20204063036 30306094554 40408126072 55561173349 60612189108 111122346698 121224378216 166683520047 222244693396 333367040094 444489386792 611172906839 666734080188 1222345813678 1333468160376 1833518720517 2444691627356 3667037441034 4889383254712 7334074882068 14668149764136