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9871663984 = 2471315834283
BaseRepresentation
bin10010011000110010…
…11010001101110000
3221110222021111012121
421030121122031300
5130204121221414
64311320004024
7466425521320
oct111431321560
927428244177
109871663984
11420632a296
121ab6000614
13c142351c0
146990b7280
153cb9ac724
hex24c65a370

9871663984 has 80 divisors (see below), whose sum is σ = 23560492032. Its totient is φ = 3901895424.

The previous prime is 9871663981. The next prime is 9871663999. The reversal of 9871663984 is 4893661789.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9871663981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2302707 + ... + 2306989.

Almost surely, 29871663984 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 9871663984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11780246016).

9871663984 is an abundant number, since it is smaller than the sum of its proper divisors (13688828048).

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

9871663984 is a wasteful number, since it uses less digits than its factorization.

9871663984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5894 (or 5888 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 61.

The square root of 9871663984 is about 99356.2478357552. The cubic root of 9871663984 is about 2145.1785945337.

The spelling of 9871663984 in words is "nine billion, eight hundred seventy-one million, six hundred sixty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 1583 3166 4283 6332 8566 11081 12664 17132 20579 22162 25328 29981 34264 41158 44324 55679 59962 68528 82316 88648 111358 119924 144053 164632 177296 222716 239848 288106 329264 389753 445432 479696 576212 779506 890864 1152424 1559012 2304848 3118024 6236048 6779989 13559978 27119956 47459923 54239912 88139857 94919846 108479824 176279714 189839692 352559428 379679384 616978999 705118856 759358768 1233957998 1410237712 2467915996 4935831992 9871663984