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8163483552 = 253275968633
BaseRepresentation
bin1111001101001010…
…01101111110100000
3210001221000221011200
413212211031332200
5113204322433202
63430015441200
7406204315410
oct74645157640
923057027150
108163483552
11350a08a024
1216b9b26200
13a01383353
145762a2640
1532ba3ee1c
hex1e694dfa0

8163483552 has 144 divisors (see below), whose sum is σ = 26981398080. Its totient is φ = 2292857856.

The previous prime is 8163483529. The next prime is 8163483553. The reversal of 8163483552 is 2553843618.

8163483552 is a `hidden beast` number, since 8 + 1 + 634 + 8 + 3 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 8163483498 and 8163483507.

It is not an unprimeable number, because it can be changed into a prime (8163483553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84628 + ... + 153260.

It is an arithmetic number, because the mean of its divisors is an integer number (187370820).

Almost surely, 28163483552 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 8163483552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13490699040).

8163483552 is an abundant number, since it is smaller than the sum of its proper divisors (18817914528).

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

8163483552 is a wasteful number, since it uses less digits than its factorization.

8163483552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68715 (or 68704 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 8163483552 is about 90351.9980520630. The cubic root of 8163483552 is about 2013.5318671327.

The spelling of 8163483552 in words is "eight billion, one hundred sixty-three million, four hundred eighty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 59 63 72 84 96 112 118 126 144 168 177 224 236 252 288 336 354 413 472 504 531 672 708 826 944 1008 1062 1239 1416 1652 1888 2016 2124 2478 2832 3304 3717 4248 4956 5664 6608 7434 8496 9912 13216 14868 16992 19824 29736 39648 59472 68633 118944 137266 205899 274532 411798 480431 549064 617697 823596 960862 1098128 1235394 1441293 1647192 1921724 2196256 2470788 2882586 3294384 3843448 4049347 4323879 4941576 5765172 6588768 7686896 8098694 8647758 9883152 11530344 12148041 15373792 16197388 17295516 19766304 23060688 24296082 28345429 32394776 34591032 36444123 46121376 48592164 56690858 64789552 69182064 72888246 85036287 97184328 113381716 129579104 138364128 145776492 170072574 194368656 226763432 255108861 291552984 340145148 388737312 453526864 510217722 583105968 680290296 907053728 1020435444 1166211936 1360580592 2040870888 2721161184 4081741776 8163483552