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10863348288 = 2631317832441
BaseRepresentation
bin10100001111000000…
…11000101001000000
31001001002022021022220
422013200120221000
5134222004121123
64553543131040
7533126636232
oct120740305100
931032267286
1010863348288
1146750933a1
122132143a80
131041820350
14750a9c252
15438a99ce3
hex287818a40

10863348288 has 112 divisors (see below), whose sum is σ = 30983627136. Its totient is φ = 3339325440.

The previous prime is 10863348269. The next prime is 10863348289. The reversal of 10863348288 is 88284336801.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10863348288.

It is not an unprimeable number, because it can be changed into a prime (10863348289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4449148 + ... + 4451588.

It is an arithmetic number, because the mean of its divisors is an integer number (276639528).

Almost surely, 210863348288 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 10863348288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15491813568).

10863348288 is an abundant number, since it is smaller than the sum of its proper divisors (20120278848).

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

10863348288 is a wasteful number, since it uses less digits than its factorization.

10863348288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 10863348288 in words is "ten billion, eight hundred sixty-three million, three hundred forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1783 2441 2496 3566 4882 5349 7132 7323 9764 10698 14264 14646 19528 21396 23179 28528 29292 31733 39056 42792 46358 57056 58584 63466 69537 78112 85584 92716 95199 114112 117168 126932 139074 156224 171168 185432 190398 234336 253864 278148 342336 370864 380796 468672 507728 556296 741728 761592 1015456 1112592 1483456 1523184 2030912 2225184 3046368 4352303 4450368 6092736 8704606 13056909 17409212 26113818 34818424 52227636 56579939 69636848 104455272 113159878 139273696 169739817 208910544 226319756 278547392 339479634 417821088 452639512 678959268 835642176 905279024 1357918536 1810558048 2715837072 3621116096 5431674144 10863348288