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3563244564 = 22311415411217
BaseRepresentation
bin1101010001100010…
…1100110000010100
3100012022212120121220
43110120230300110
524244142311224
61345324410340
7154205036055
oct32430546024
910168776556
103563244564
1115693a4420
128353a69b0
1344a2b1349
1425b34272c
1515cc51279
hexd462cc14

3563244564 has 96 divisors (see below), whose sum is σ = 9316121472. Its totient is φ = 1050624000.

The previous prime is 3563244457. The next prime is 3563244593. The reversal of 3563244564 is 4654423653.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2927284 + ... + 2928500.

It is an arithmetic number, because the mean of its divisors is an integer number (97042932).

Almost surely, 23563244564 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 3563244564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658060736).

3563244564 is an abundant number, since it is smaller than the sum of its proper divisors (5752876908).

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

3563244564 is a wasteful number, since it uses less digits than its factorization.

3563244564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1815 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 42.

The square root of 3563244564 is about 59692.9188765301. The cubic root of 3563244564 is about 1527.3850792902.

Subtracting 3563244564 from its reverse (4654423653), we obtain a square (1091179089 = 330332).

The spelling of 3563244564 in words is "three billion, five hundred sixty-three million, two hundred forty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 541 902 1082 1217 1353 1623 1804 2164 2434 2706 3246 3651 4868 5412 5951 6492 7302 11902 13387 14604 17853 22181 23804 26774 35706 40161 44362 49897 53548 66543 71412 80322 88724 99794 133086 149691 160644 199588 243991 266172 299382 487982 548867 598764 658397 731973 975964 1097734 1316794 1463946 1646601 1975191 2195468 2633588 2927892 3293202 3950382 6586404 7242367 7900764 14484734 21727101 26994277 28969468 43454202 53988554 80982831 86908404 107977108 161965662 296937047 323931324 593874094 890811141 1187748188 1781622282 3563244564