Search a number
-
+
13160546201412 = 223237359231111909
BaseRepresentation
bin1011111110000010110110…
…1011100110111101000100
31201121010200002111120202100
42333200231223212331010
53211110244311421122
643553512122512100
72525550413655501
oct277405553467504
951533602446670
1013160546201412
1142143a1266085
121586728365630
1374605a13552c
14336d8c2ba4a8
1517c509066aac
hexbf82dae6f44

13160546201412 has 144 divisors (see below), whose sum is σ = 34278916089600. Its totient is φ = 4254196826880.

The previous prime is 13160546201399. The next prime is 13160546201443. The reversal of 13160546201412 is 21410264506131.

13160546201412 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 0 + 5 + 4 + 620 + 14 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1105086514 + ... + 1105098422.

It is an arithmetic number, because the mean of its divisors is an integer number (238048028400).

Almost surely, 213160546201412 is an apocalyptic number.

13160546201412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13160546201412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17139458044800).

13160546201412 is an abundant number, since it is smaller than the sum of its proper divisors (21118369888188).

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

13160546201412 is a wasteful number, since it uses less digits than its factorization.

13160546201412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14626 (or 14621 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13160546201412 in words is "thirteen trillion, one hundred sixty billion, five hundred forty-six million, two hundred one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 359 444 666 718 1077 1332 1436 2154 2311 3231 4308 4622 6462 6933 9244 11909 12924 13283 13866 20799 23818 26566 27732 35727 39849 41598 47636 53132 71454 79698 83196 85507 107181 119547 142908 159396 171014 214362 239094 256521 342028 428724 440633 478188 513042 769563 829649 881266 1026084 1321899 1539126 1659298 1762532 2488947 2643798 3078252 3318596 3965697 4275331 4977894 5287596 7466841 7931394 8550662 9955788 12825993 14933682 15862788 17101324 25651986 27521699 29867364 30697013 38477979 51303972 55043398 61394026 76955958 82565097 92091039 110086796 122788052 153911916 158187247 165130194 184182078 247695291 276273117 316374494 330260388 368364156 474561741 495390582 552546234 632748988 949123482 990781164 1018302863 1105092468 1423685223 1898246964 2036605726 2847370446 3054908589 4073211452 5694740892 6109817178 9164725767 9880289941 12219634356 18329451534 19760579882 29640869823 36658903068 39521159764 59281739646 88922609469 118563479292 177845218938 355690437876 365570727817 731141455634 1096712183451 1462282911268 2193424366902 3290136550353 4386848733804 6580273100706 13160546201412