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443245012002 = 234135322917341
BaseRepresentation
bin1100111001100110111…
…01100010010000100010
31120101002111200121010000
412130303131202100202
524230231210341002
6535342434520430
744011011303132
oct6346335422042
91511074617100
10443245012002
11160a85287a41
1271aa1a36116
1332a4aa8c340
141764b714ac2
15b7e322061c
hex6733762422

443245012002 has 160 divisors (see below), whose sum is σ = 1094599986480. Its totient is φ = 133217809920.

The previous prime is 443245011997. The next prime is 443245012027. The reversal of 443245012002 is 200210542344.

443245012002 is a `hidden beast` number, since 4 + 4 + 3 + 2 + 450 + 1 + 200 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 384200385921 + 59044626081 = 619839^2 + 242991^2 .

It is a super-2 number, since 2×4432450120022 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25551852 + ... + 25569192.

Almost surely, 2443245012002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443245012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547299993240).

443245012002 is an abundant number, since it is smaller than the sum of its proper divisors (651354974478).

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

443245012002 is a wasteful number, since it uses less digits than its factorization.

443245012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17650 (or 17641 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 443245012002 its reverse (200210542344), we get a palindrome (643455554346).

The spelling of 443245012002 in words is "four hundred forty-three billion, two hundred forty-five million, twelve thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 81 106 117 159 162 229 234 318 351 458 477 687 689 702 954 1053 1374 1378 1431 2061 2067 2106 2862 2977 4122 4134 4293 5954 6183 6201 8586 8931 12137 12366 12402 17341 17862 18549 18603 24274 26793 34682 36411 37098 37206 52023 53586 55809 72822 80379 104046 109233 111618 156069 157781 160758 218466 225433 241137 312138 315562 327699 450866 468207 473343 482274 655398 676299 919073 936414 946686 983097 1352598 1404621 1420029 1838146 1966194 2028897 2757219 2809242 2840058 3971089 4057794 4260087 5514438 6086691 7942178 8271657 8520174 11913267 11947949 12173382 12780261 16543314 18260073 23826534 23895898 24814971 25560522 35739801 35843847 36520146 49629942 51624157 71479602 71687694 74444913 103248314 107219403 107531541 148889826 154872471 210467717 214438806 215063082 309744942 321658209 322594623 420935434 464617413 631403151 643316418 645189246 929234826 967783869 1262806302 1393852239 1894209453 1935567738 2736080321 2787704478 3788418906 4181556717 5472160642 5682628359 8208240963 8363113434 11365256718 16416481926 17047885077 24624722889 34095770154 49249445778 73874168667 147748337334 221622506001 443245012002