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8483765920 = 255724126393
BaseRepresentation
bin1111110011010101…
…11111111010100000
3210220020200221222121
413321222333322200
5114333321002140
63521500314024
7420143551300
oct77152777240
923806627877
108483765920
1136639569a3
121789242914
13a52832c46
145a6a35600
15349c0864a
hex1f9abfea0

8483765920 has 144 divisors (see below), whose sum is σ = 23884775208. Its totient is φ = 2837667840.

The previous prime is 8483765911. The next prime is 8483765933. The reversal of 8483765920 is 295673848.

It can be written as a sum of positive squares in 4 ways, for example, as 4303884816 + 4179881104 = 65604^2 + 64652^2 .

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, 308244 + ... + 334636.

Almost surely, 28483765920 is an apocalyptic number.

8483765920 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 8483765920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11942387604).

8483765920 is an abundant number, since it is smaller than the sum of its proper divisors (15401009288).

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

8483765920 is a wasteful number, since it uses less digits than its factorization.

8483765920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26463 (or 26448 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The square root of 8483765920 is about 92107.3608350603. The cubic root of 8483765920 is about 2039.5274696913.

The spelling of 8483765920 in words is "eight billion, four hundred eighty-three million, seven hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 49 56 70 80 82 98 112 140 160 164 196 205 224 245 280 287 328 392 410 490 560 574 656 784 820 980 1120 1148 1312 1435 1568 1640 1960 2009 2296 2870 3280 3920 4018 4592 5740 6560 7840 8036 9184 10045 11480 16072 20090 22960 26393 32144 40180 45920 52786 64288 80360 105572 131965 160720 184751 211144 263930 321440 369502 422288 527860 739004 844576 923755 1055720 1082113 1293257 1478008 1847510 2111440 2164226 2586514 2956016 3695020 4222880 4328452 5173028 5410565 5912032 6466285 7390040 7574791 8656904 10346056 10821130 12932570 14780080 15149582 17313808 20692112 21642260 25865140 29560160 30299164 34627616 37873955 41384224 43284520 51730280 53023537 60598328 75747910 86569040 103460560 106047074 121196656 151495820 173138080 206921120 212094148 242393312 265117685 302991640 424188296 530235370 605983280 848376592 1060470740 1211966560 1696753184 2120941480 4241882960 8483765920