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109005523152 = 24353199215317
BaseRepresentation
bin110010110000100111…
…1000100100011010000
3101102100210010022121020
41211201033010203100
53241220403220102
6122024302355440
710606154442021
oct1454117044320
9342323108536
10109005523152
1142257859a19
121916188bb80
13a382474976
1453c10b2c48
152c7eb57bbc
hex19613c48d0

109005523152 has 80 divisors (see below), whose sum is σ = 288353865600. Its totient is φ = 35470296576.

The previous prime is 109005523127. The next prime is 109005523153. The reversal of 109005523152 is 251325500901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109005523153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398598 + ... + 613914.

It is an arithmetic number, because the mean of its divisors is an integer number (3604423320).

Almost surely, 2109005523152 is an apocalyptic number.

109005523152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109005523152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144176932800).

109005523152 is an abundant number, since it is smaller than the sum of its proper divisors (179348342448).

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

109005523152 is a wasteful number, since it uses less digits than its factorization.

109005523152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215580 (or 215574 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 109005523152 in words is "one hundred nine billion, five million, five hundred twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 199 212 318 398 424 597 636 796 848 1194 1272 1592 2388 2544 3184 4776 9552 10547 21094 31641 42188 63282 84376 126564 168752 215317 253128 430634 506256 645951 861268 1291902 1722536 2583804 3445072 5167608 10335216 11411801 22823602 34235403 42848083 45647204 68470806 85696166 91294408 128544249 136941612 171392332 182588816 257088498 273883224 342784664 514176996 547766448 685569328 1028353992 2056707984 2270948399 4541896798 6812845197 9083793596 13625690394 18167587192 27251380788 36335174384 54502761576 109005523152