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4463112080 = 245721398191
BaseRepresentation
bin1000010100000010…
…11010111110010000
3102112001010120210102
410022001122332100
533120024041310
62014511551532
7215412553400
oct41201327620
912461116712
104463112080
111990346189
12a4682b5a8
1356185c62b
14304a66800
151b1c538a5
hex10a05af90

4463112080 has 120 divisors (see below), whose sum is σ = 12159221760. Its totient is φ = 1519015680.

The previous prime is 4463112077. The next prime is 4463112083. The reversal of 4463112080 is 802113644.

It is an interprime number because it is at equal distance from previous prime (4463112077) and next prime (4463112083).

It is not an unprimeable number, because it can be changed into a prime (4463112083) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 540785 + ... + 548975.

It is an arithmetic number, because the mean of its divisors is an integer number (101326848).

Almost surely, 24463112080 is an apocalyptic number.

4463112080 is a gapful number since it is divisible by the number (40) 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 4463112080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6079610880).

4463112080 is an abundant number, since it is smaller than the sum of its proper divisors (7696109680).

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

4463112080 is a wasteful number, since it uses less digits than its factorization.

4463112080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8357 (or 8344 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4463112080 is about 66806.5272260129. The cubic root of 4463112080 is about 1646.4400849450.

The spelling of 4463112080 in words is "four billion, four hundred sixty-three million, one hundred twelve thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 139 140 196 245 278 280 392 490 556 560 695 784 973 980 1112 1390 1946 1960 2224 2780 3892 3920 4865 5560 6811 7784 8191 9730 11120 13622 15568 16382 19460 27244 32764 34055 38920 40955 54488 57337 65528 68110 77840 81910 108976 114674 131056 136220 163820 229348 272440 286685 327640 401359 458696 544880 573370 655280 802718 917392 1138549 1146740 1605436 2006795 2277098 2293480 3210872 4013590 4554196 4586960 5692745 6421744 7969843 8027180 9108392 11385490 15939686 16054360 18216784 22770980 31879372 32108720 39849215 45541960 55788901 63758744 79698430 91083920 111577802 127517488 159396860 223155604 278944505 318793720 446311208 557889010 637587440 892622416 1115778020 2231556040 4463112080