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89663508324 = 223213435384067
BaseRepresentation
bin101001110000001011…
…1001000111101100100
322120102210201011022200
41103200113020331210
52432112324231244
6105105120054500
76322642150155
oct1234027107544
9276383634280
1089663508324
11350317929a5
1215464164430
1385bc1b8790
1444a834992c
1524eba60669
hex14e05c8f64

89663508324 has 144 divisors (see below), whose sum is σ = 254475853632. Its totient is φ = 26438420736.

The previous prime is 89663508313. The next prime is 89663508349. The reversal of 89663508324 is 42380536698.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1024539 + ... + 1108605.

It is an arithmetic number, because the mean of its divisors is an integer number (1767193428).

Almost surely, 289663508324 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 89663508324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127237926816).

89663508324 is an abundant number, since it is smaller than the sum of its proper divisors (164812345308).

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

89663508324 is a wasteful number, since it uses less digits than its factorization.

89663508324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84186 (or 84181 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 89663508324 in words is "eighty-nine billion, six hundred sixty-three million, five hundred eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 53 78 86 106 117 129 156 159 172 212 234 258 318 387 468 477 516 559 636 689 774 954 1118 1378 1548 1677 1908 2067 2236 2279 2756 3354 4134 4558 5031 6201 6708 6837 8268 9116 10062 12402 13674 20124 20511 24804 27348 29627 41022 59254 82044 84067 88881 118508 168134 177762 252201 266643 336268 355524 504402 533286 756603 1008804 1066572 1092871 1513206 2185742 3026412 3278613 3614881 4371484 4455551 6557226 7229762 8911102 9835839 10844643 13114452 13366653 14459524 17822204 19671678 21689286 26733306 32533929 39343356 40099959 43378572 46993453 53466612 57922163 65067858 80199918 93986906 115844326 130135716 140980359 160399836 173766489 187973812 191588693 231688652 281960718 347532978 383177386 422941077 521299467 563921436 574766079 695065956 766354772 845882154 1042598934 1149532158 1691764308 1724298237 2085197868 2299064316 2490653009 3448596474 4981306018 6897192948 7471959027 9962612036 14943918054 22415877081 29887836108 44831754162 89663508324