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8380319360 = 27571998453
BaseRepresentation
bin1111100111000000…
…11000011010000000
3210122001001022222112
413303200120122000
5114130330204420
63503323154452
7414446352650
oct76340303200
923561038875
108380319360
113610520a76
12175a675a28
13a3728376a
14596dc8360
15340ac28c5
hex1f3818680

8380319360 has 128 divisors (see below), whose sum is σ = 24101539200. Its totient is φ = 2722000896.

The previous prime is 8380319317. The next prime is 8380319369. The reversal of 8380319360 is 639130838.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (8380319369) by changing a digit.

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, 35894 + ... + 134346.

It is an arithmetic number, because the mean of its divisors is an integer number (188293275).

Almost surely, 28380319360 is an apocalyptic number.

8380319360 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 8380319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12050769600).

8380319360 is an abundant number, since it is smaller than the sum of its proper divisors (15721219840).

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

8380319360 is a wasteful number, since it uses less digits than its factorization.

8380319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98498 (or 98486 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 8380319360 is about 91544.0842436036. The cubic root of 8380319360 is about 2031.2039062235.

The spelling of 8380319360 in words is "eight billion, three hundred eighty million, three hundred nineteen thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 640 665 760 896 1064 1120 1216 1330 1520 2128 2240 2432 2660 3040 4256 4480 5320 6080 8512 10640 12160 17024 21280 42560 85120 98453 196906 393812 492265 689171 787624 984530 1378342 1575248 1870607 1969060 2756684 3150496 3445855 3741214 3938120 5513368 6300992 6891710 7482428 7876240 9353035 11026736 12601984 13094249 13783420 14964856 15752480 18706070 22053472 26188498 27566840 29929712 31504960 37412140 44106944 52376996 55133680 59859424 63009920 65471245 74824280 88213888 104753992 110267360 119718848 130942490 149648560 209507984 220534720 239437696 261884980 299297120 419015968 441069440 523769960 598594240 838031936 1047539920 1197188480 1676063872 2095079840 4190159680 8380319360