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8309422080 = 21132590163
BaseRepresentation
bin1111011110100011…
…11011100000000000
3210110002122101012100
413233101323200000
5114004203001310
63452311430400
7412625631231
oct75721734000
923402571170
108309422080
1135844a7883
12173a985400
13a2568c6cb
1458b811088
1533976aec0
hex1ef47b800

8309422080 has 144 divisors (see below), whose sum is σ = 28799283240. Its totient is φ = 2215821312.

The previous prime is 8309422073. The next prime is 8309422109. The reversal of 8309422080 is 802249038.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47079 + ... + 137241.

Almost surely, 28309422080 is an apocalyptic number.

8309422080 is a gapful number since it is divisible by the number (80) 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 8309422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14399641620).

8309422080 is an abundant number, since it is smaller than the sum of its proper divisors (20489861160).

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

8309422080 is a wasteful number, since it uses less digits than its factorization.

8309422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90196 (or 90173 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8309422080 is about 91156.0315064231. The cubic root of 8309422080 is about 2025.4596999327.

The spelling of 8309422080 in words is "eight billion, three hundred nine million, four hundred twenty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 46080 90163 92160 180326 270489 360652 450815 540978 721304 811467 901630 1081956 1352445 1442608 1622934 1803260 2163912 2704890 2885216 3245868 3606520 4057335 4327824 5409780 5770432 6491736 7213040 8114670 8655648 10819560 11540864 12983472 14426080 16229340 17311296 21639120 23081728 25966944 28852160 32458680 34622592 43278240 46163456 51933888 57704320 64917360 69245184 86556480 92326912 103867776 115408640 129834720 138490368 173112960 184653824 207735552 230817280 259669440 276980736 346225920 415471104 461634560 519338880 553961472 692451840 830942208 923269120 1038677760 1384903680 1661884416 2077355520 2769807360 4154711040 8309422080