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8198744560 = 245109940223
BaseRepresentation
bin1111010001010111…
…01110100111110000
3210011101101101011221
413220223232213300
5113242334311220
63433315314424
7410113115236
oct75053564760
923141341157
108198744560
113527a83156
1217098aba14
13a0877ab56
1457ac40956
1532eba79aa
hex1e8aee9f0

8198744560 has 40 divisors (see below), whose sum is σ = 19236983040. Its totient is φ = 3249407232.

The previous prime is 8198744527. The next prime is 8198744569. The reversal of 8198744560 is 654478918.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 8198744498 and 8198744507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8198744569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461392 + ... + 478831.

It is an arithmetic number, because the mean of its divisors is an integer number (480924576).

Almost surely, 28198744560 is an apocalyptic number.

8198744560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8198744560 is an abundant number, since it is smaller than the sum of its proper divisors (11038238480).

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

8198744560 is a wasteful number, since it uses less digits than its factorization.

8198744560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940345 (or 940339 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The square root of 8198744560 is about 90546.9191082723. The cubic root of 8198744560 is about 2016.4267580951.

The spelling of 8198744560 in words is "eight billion, one hundred ninety-eight million, seven hundred forty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 940223 1880446 3760892 4701115 7521784 9402230 15043568 18804460 37608920 75217840 102484307 204968614 409937228 512421535 819874456 1024843070 1639748912 2049686140 4099372280 8198744560