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1063669376 = 2771129811
BaseRepresentation
bin111111011001100…
…100111010000000
32202010111000002002
4333121210322000
54134244410001
6253314043132
735234016620
oct7731447200
92663430062
101063669376
114a6460600
122582794a8
1313c4a0383
14a13a2880
15635ab46b
hex3f664e80

1063669376 has 96 divisors (see below), whose sum is σ = 2662191840. Its totient is φ = 414374400.

The previous prime is 1063669363. The next prime is 1063669391. The reversal of 1063669376 is 6739663601.

It is a happy number.

1063669376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10636693762 = 2262785082880458752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1063669376.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103511 + ... + 113321.

It is an arithmetic number, because the mean of its divisors is an integer number (27731165).

Almost surely, 21063669376 is an apocalyptic number.

1063669376 is a gapful number since it is divisible by the number (16) 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 1063669376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331095920).

1063669376 is an abundant number, since it is smaller than the sum of its proper divisors (1598522464).

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

1063669376 is an equidigital number, since it uses as much as digits as its factorization.

1063669376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9854 (or 9831 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 47.

The square root of 1063669376 is about 32613.9445023137. The cubic root of 1063669376 is about 1020.7879903462.

The spelling of 1063669376 in words is "one billion, sixty-three million, six hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 308 352 448 484 616 704 847 896 968 1232 1408 1694 1936 2464 3388 3872 4928 6776 7744 9811 9856 13552 15488 19622 27104 39244 54208 68677 78488 107921 108416 137354 156976 215842 274708 313952 431684 549416 627904 755447 863368 1098832 1187131 1255808 1510894 1726736 2197664 2374262 3021788 3453472 4395328 4748524 6043576 6906944 8309917 8790656 9497048 12087152 13813888 16619834 18994096 24174304 33239668 37988192 48348608 66479336 75976384 96697216 132958672 151952768 265917344 531834688 1063669376