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13483969968 = 2437176138699
BaseRepresentation
bin11001000111011010…
…10000110110110000
31021210201110122110010
430203231100312300
5210103344014333
610110000134520
7655100565540
oct144355206660
937721418403
1013483969968
11579a393237
122743907440
13136b733671
1491cb4b320
1553dba0563
hex323b50db0

13483969968 has 160 divisors (see below), whose sum is σ = 42843686400. Its totient is φ = 3566407680.

The previous prime is 13483969921. The next prime is 13483970021. The reversal of 13483969968 is 86996938431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13483969899 and 13483969908.

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, 329083 + ... + 367781.

It is an arithmetic number, because the mean of its divisors is an integer number (267773040).

Almost surely, 213483969968 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 13483969968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21421843200).

13483969968 is an abundant number, since it is smaller than the sum of its proper divisors (29359716432).

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

13483969968 is a wasteful number, since it uses less digits than its factorization.

13483969968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38795 (or 38789 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 66.

The spelling of 13483969968 in words is "thirteen billion, four hundred eighty-three million, nine hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 61 68 84 102 112 119 122 136 168 183 204 238 244 272 336 357 366 408 427 476 488 714 732 816 854 952 976 1037 1281 1428 1464 1708 1904 2074 2562 2856 2928 3111 3416 4148 5124 5712 6222 6832 7259 8296 10248 12444 14518 16592 20496 21777 24888 29036 38699 43554 49776 58072 77398 87108 116097 116144 154796 174216 232194 270893 309592 348432 464388 541786 619184 657883 812679 928776 1083572 1315766 1625358 1857552 1973649 2167144 2360639 2631532 3250716 3947298 4334288 4605181 4721278 5263064 6501432 7081917 7894596 9210362 9442556 10526128 13002864 13815543 14163834 15789192 16524473 18420724 18885112 27631086 28327668 31578384 33048946 36841448 37770224 40130863 49573419 55262172 56655336 66097892 73682896 80261726 99146838 110524344 113310672 120392589 132195784 160523452 198293676 221048688 240785178 264391568 280916041 321046904 396587352 481570356 561832082 642093808 793174704 842748123 963140712 1123664164 1685496246 1926281424 2247328328 3370992492 4494656656 6741984984 13483969968