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1316616214536 = 2332722291629653
BaseRepresentation
bin10011001010001100011…
…100010001100000001000
311122212102020200121110100
4103022030130101200020
5133032412222331121
62444502314445400
7164056656112500
oct23121434214010
94585366617410
101316616214536
114684125900a7
12193204133860
139720573564c
1447a202c4a00
15243aca8d026
hex1328c711808

1316616214536 has 144 divisors (see below), whose sum is σ = 4166128968300. Its totient is φ = 374533141248.

The previous prime is 1316616214531. The next prime is 1316616214549. The reversal of 1316616214536 is 6354126166131.

1316616214536 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 616 + 21 + 4 + 5 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1033666689636 + 282949524900 = 1016694^2 + 531930^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1316616214491 and 1316616214500.

It is not an unprimeable number, because it can be changed into a prime (1316616214531) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6915 + ... + 1622738.

Almost surely, 21316616214536 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 1316616214536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083064484150).

1316616214536 is an abundant number, since it is smaller than the sum of its proper divisors (2849512753764).

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

1316616214536 is a wasteful number, since it uses less digits than its factorization.

1316616214536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629908 (or 1629894 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 1316616214536 in words is "one trillion, three hundred sixteen billion, six hundred sixteen million, two hundred fourteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 229 252 294 392 441 458 504 588 687 882 916 1176 1374 1603 1764 1832 2061 2748 3206 3528 4122 4809 5496 6412 8244 9618 11221 12824 14427 16488 19236 22442 28854 33663 38472 44884 57708 67326 89768 100989 115416 134652 201978 269304 403956 807912 1629653 3259306 4888959 6518612 9777918 11407571 13037224 14666877 19555836 22815142 29333754 34222713 39111672 45630284 58667508 68445426 79852997 91260568 102668139 117335016 136890852 159705994 205336278 239558991 273781704 319411988 373190537 410672556 479117982 638823976 718676973 746381074 821345112 958235964 1119571611 1437353946 1492762148 1916471928 2239143222 2612333759 2874707892 2985524296 3358714833 4478286444 5224667518 5749415784 6717429666 7837001277 8956572888 10449335036 13434859332 15674002554 18286336313 20898670072 23511003831 26869718664 31348005108 36572672626 47022007662 54859008939 62696010216 73145345252 94044015324 109718017878 146290690504 164577026817 188088030648 219436035756 329154053634 438872071512 658308107268 1316616214536