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8480197760 = 27515978297
BaseRepresentation
bin1111110010111010…
…11000110010000000
3210212222222200101112
413321131120302000
5114331412312020
63521252022452
7420101330426
oct77135306200
923788880345
108480197760
11366193a101
121788001a28
13a51b83ac8
145a6387116
153497512c5
hex1f9758c80

8480197760 has 64 divisors (see below), whose sum is σ = 20288112120. Its totient is φ = 3389546496.

The previous prime is 8480197723. The next prime is 8480197799. The reversal of 8480197760 is 677910848.

It can be written as a sum of positive squares in 4 ways, for example, as 7852795456 + 627402304 = 88616^2 + 25048^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 8480197699 and 8480197708.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1017932 + ... + 1026228.

Almost surely, 28480197760 is an apocalyptic number.

8480197760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8480197760 is an abundant number, since it is smaller than the sum of its proper divisors (11807914360).

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

8480197760 is a wasteful number, since it uses less digits than its factorization.

8480197760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9913 (or 9901 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 50.

The square root of 8480197760 is about 92087.9892276946. The cubic root of 8480197760 is about 2039.2414968149.

The spelling of 8480197760 in words is "eight billion, four hundred eighty million, one hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1597 3194 6388 7985 8297 12776 15970 16594 25552 31940 33188 41485 51104 63880 66376 82970 102208 127760 132752 165940 204416 255520 265504 331880 511040 531008 663760 1022080 1062016 1327520 2655040 5310080 13250309 26500618 53001236 66251545 106002472 132503090 212004944 265006180 424009888 530012360 848019776 1060024720 1696039552 2120049440 4240098880 8480197760