Search a number
-
+
11302416410436 = 22323183199613163
BaseRepresentation
bin1010010001111000110010…
…0000111110011101000100
31111000111111211111002000100
42210132030200332131010
52440134322100113221
640012131452444100
72244400262231244
oct244361440763504
944014454432010
1011302416410436
113668367457128
121326598479630
1363ca75a65c08
142b107b5a9b24
15149006081926
hexa478c83e744

11302416410436 has 144 divisors (see below), whose sum is σ = 29996963942400. Its totient is φ = 3583907363520.

The previous prime is 11302416410423. The next prime is 11302416410447. The reversal of 11302416410436 is 63401461420311.

11302416410436 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 2 + 4 + 1 + 641 + 0 + 4 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11302416410436.

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, 18126391 + ... + 18739553.

It is an arithmetic number, because the mean of its divisors is an integer number (208312249600).

Almost surely, 211302416410436 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 11302416410436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14998481971200).

11302416410436 is an abundant number, since it is smaller than the sum of its proper divisors (18694547531964).

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

11302416410436 is a wasteful number, since it uses less digits than its factorization.

11302416410436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613486 (or 613481 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 11302416410436 its reverse (63401461420311), we get a palindrome (74703877830747).

The spelling of 11302416410436 in words is "eleven trillion, three hundred two billion, four hundred sixteen million, four hundred ten thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 83 93 124 166 186 199 249 279 332 372 398 498 558 597 747 796 996 1116 1194 1494 1791 2388 2573 2988 3582 5146 6169 7164 7719 10292 12338 15438 16517 18507 23157 24676 30876 33034 37014 46314 49551 55521 66068 74028 92628 99102 111042 148653 198204 222084 297306 512027 594612 613163 1024054 1226326 1536081 1839489 2048108 2452652 3072162 3678978 4608243 5518467 6144324 7357956 9216486 11036934 18432972 19008053 22073868 38016106 50892529 57024159 76032212 101785058 114048318 122019437 152677587 171072477 203570116 228096636 244038874 305355174 342144954 366058311 458032761 488077748 610710348 684289908 732116622 916065522 1098174933 1464233244 1577668399 1832131044 2196349866 3155336798 3782602547 4392699732 4733005197 6310673596 7565205094 9466010394 10127613271 11347807641 14199015591 15130410188 18932020788 20255226542 22695615282 28398031182 30382839813 34043422923 40510453084 45391230564 56796062364 60765679626 68086845846 91148519439 121531359252 136173691692 182297038878 313956011401 364594077756 627912022802 941868034203 1255824045604 1883736068406 2825604102609 3767472136812 5651208205218 11302416410436