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8205733380 = 22351316016571
BaseRepresentation
bin1111010010001100…
…11000111000000100
3210011212112110001010
413221012120320010
5113301131432010
63434125202220
7410226403635
oct75106307004
923155473033
108205733380
113530a16a39
121710100370
13a0a056c50
1457bb3d88c
153305d8620
hex1e9198e04

8205733380 has 96 divisors (see below), whose sum is σ = 24762665088. Its totient is φ = 2018304000.

The previous prime is 8205733369. The next prime is 8205733409. The reversal of 8205733380 is 833375028.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245495 + ... + 1252065.

It is an arithmetic number, because the mean of its divisors is an integer number (257944428).

Almost surely, 28205733380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8205733380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12381332544).

8205733380 is an abundant number, since it is smaller than the sum of its proper divisors (16556931708).

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

8205733380 is a wasteful number, since it uses less digits than its factorization.

8205733380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8197 (or 8195 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 8205733380 is about 90585.5031448189. The cubic root of 8205733380 is about 2016.9995466562. Note that the first 3 decimals are identical.

The spelling of 8205733380 in words is "eight billion, two hundred five million, seven hundred thirty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1601 3202 4803 6404 6571 8005 9606 13142 16010 19212 19713 20813 24015 26284 32020 32855 39426 41626 48030 62439 65710 78852 83252 85423 96060 98565 104065 124878 131420 170846 197130 208130 249756 256269 312195 341692 394260 416260 427115 512538 624390 854230 1025076 1248780 1281345 1708460 2562690 5125380 10520171 21040342 31560513 42080684 52600855 63121026 105201710 126242052 136762223 157802565 210403420 273524446 315605130 410286669 547048892 631210260 683811115 820573338 1367622230 1641146676 2051433345 2735244460 4102866690 8205733380