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108199248640 = 285766118269
BaseRepresentation
bin110010011000100101…
…1011000001100000000
3101100021120222022220021
41210301023120030000
53233043001424030
6121412301223224
710550164303330
oct1446113301400
9340246868807
10108199248640
1141983722a4a
1218b77861b14
13a284405b62
145345d930c0
152c33e9197a
hex19312d8300

108199248640 has 144 divisors (see below), whose sum is σ = 296659782720. Its totient is φ = 37038735360.

The previous prime is 108199248637. The next prime is 108199248761. The reversal of 108199248640 is 46842991801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5913426 + ... + 5931694.

It is an arithmetic number, because the mean of its divisors is an integer number (2060137380).

Almost surely, 2108199248640 is an apocalyptic number.

108199248640 is a gapful number since it is divisible by the number (10) 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 108199248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148329891360).

108199248640 is an abundant number, since it is smaller than the sum of its proper divisors (188460534080).

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

108199248640 is an equidigital number, since it uses as much as digits as its factorization.

108199248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18958 (or 18944 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 108199248640 in words is "one hundred eight billion, one hundred ninety-nine million, two hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 661 896 1120 1280 1322 1792 2240 2644 3305 4480 4627 5288 6610 8960 9254 10576 13220 18269 18508 21152 23135 26440 36538 37016 42304 46270 52880 73076 74032 84608 91345 92540 105760 127883 146152 148064 169216 182690 185080 211520 255766 292304 296128 365380 370160 423040 511532 584608 592256 639415 730760 740320 846080 1023064 1169216 1184512 1278830 1461520 1480640 2046128 2338432 2557660 2923040 2961280 4092256 4676864 5115320 5846080 5922560 8184512 10230640 11692160 12075809 16369024 20461280 23384320 24151618 32738048 40922560 48303236 60379045 81845120 84530663 96606472 120758090 163690240 169061326 193212944 241516180 338122652 386425888 422653315 483032360 676245304 772851776 845306630 966064720 1352490608 1545703552 1690613260 1932129440 2704981216 3091407104 3381226520 3864258880 5409962432 6762453040 7728517760 10819924864 13524906080 15457035520 21639849728 27049812160 54099624320 108199248640