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8321563040 = 255713953453
BaseRepresentation
bin1111100000000000…
…01111100110100000
3210110221111012110112
413300000033212200
5114020310004130
63453423550452
7413134055510
oct76000174640
923427435415
108321563040
11359033a52a
121742a5b428
13a280508cb
1458d291840
1533a868495
hex1f000f9a0

8321563040 has 96 divisors (see below), whose sum is σ = 22630285440. Its totient is φ = 2832528384.

The previous prime is 8321563037. The next prime is 8321563097. The reversal of 8321563040 is 403651238.

It is a super-2 number, since 2×83215630402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 8321562988 and 8321563006.

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, 128954 + ... + 182406.

It is an arithmetic number, because the mean of its divisors is an integer number (235732140).

Almost surely, 28321563040 is an apocalyptic number.

8321563040 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 8321563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11315142720).

8321563040 is an abundant number, since it is smaller than the sum of its proper divisors (14308722400).

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

8321563040 is a wasteful number, since it uses less digits than its factorization.

8321563040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53614 (or 53606 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 8321563040 is about 91222.6015853527. The cubic root of 8321563040 is about 2026.4456914157.

The spelling of 8321563040 in words is "eight billion, three hundred twenty-one million, five hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 139 140 160 224 278 280 556 560 695 973 1112 1120 1390 1946 2224 2780 3892 4448 4865 5560 7784 9730 11120 15568 19460 22240 31136 38920 53453 77840 106906 155680 213812 267265 374171 427624 534530 748342 855248 1069060 1496684 1710496 1870855 2138120 2993368 3741710 4276240 5986736 7429967 7483420 8552480 11973472 14859934 14966840 29719868 29933680 37149835 52009769 59439736 59867360 74299670 104019538 118879472 148599340 208039076 237758944 260048845 297198680 416078152 520097690 594397360 832156304 1040195380 1188794720 1664312608 2080390760 4160781520 8321563040