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109008265248 = 25324326333469
BaseRepresentation
bin110010110000101100…
…1100010000000100000
3101102100222021122001100
41211201121202000200
53241222103441443
6122024441234400
710606216652331
oct1454131420040
9342328248040
10109008265248
1142259362113
1219162792a00
13a382bc4acc
1453c15c8288
152c7eeea3d3
hex1961662020

109008265248 has 144 divisors (see below), whose sum is σ = 318416978880. Its totient is φ = 35355059712.

The previous prime is 109008265217. The next prime is 109008265259. The reversal of 109008265248 is 842562800901.

109008265248 is a `hidden beast` number, since 10 + 90 + 0 + 8 + 26 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3240258 + ... + 3273726.

It is an arithmetic number, because the mean of its divisors is an integer number (2211229020).

Almost surely, 2109008265248 is an apocalyptic number.

109008265248 is a gapful number since it is divisible by the number (18) 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 109008265248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159208489440).

109008265248 is an abundant number, since it is smaller than the sum of its proper divisors (209408713632).

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

109008265248 is a wasteful number, since it uses less digits than its factorization.

109008265248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33791 (or 33780 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 109008265248 in words is "one hundred nine billion, eight million, two hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 263 288 344 387 516 526 688 774 789 1032 1052 1376 1548 1578 2064 2104 2367 3096 3156 4128 4208 4734 6192 6312 8416 9468 11309 12384 12624 18936 22618 25248 33469 33927 37872 45236 66938 67854 75744 90472 100407 101781 133876 135708 180944 200814 203562 267752 271416 301221 361888 401628 407124 535504 542832 602442 803256 814248 1071008 1085664 1204884 1439167 1606512 1628496 2409768 2878334 3213024 3256992 4317501 4819536 5756668 8635002 8802347 9639072 11513336 12952503 17270004 17604694 23026672 25905006 26407041 34540008 35209388 46053344 51810012 52814082 69080016 70418776 79221123 103620024 105628164 138160032 140837552 158442246 207240048 211256328 281675104 316884492 378500921 414480096 422512656 633768984 757001842 845025312 1135502763 1267537968 1514003684 2271005526 2535075936 3028007368 3406508289 4542011052 6056014736 6813016578 9084022104 12112029472 13626033156 18168044208 27252066312 36336088416 54504132624 109008265248