Search a number
-
+
12853816448 = 271129112
BaseRepresentation
bin10111111100010010…
…11010110010000000
31020011210201112022212
423332021122302000
5202311034111243
65523245521252
7633346431344
oct137611326200
936153645285
1012853816448
1154a670a600
1225a8873228
13129b00ac65
1489d195624
155036c8318
hex2fe25ac80

12853816448 has 72 divisors (see below), whose sum is σ = 28177701195. Its totient is φ = 5836230400.

The previous prime is 12853816427. The next prime is 12853816477. The reversal of 12853816448 is 84461835821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6426908224 + 6426908224 = 80168^2 + 80168^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=80168.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12853816396 and 12853816405.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14109113 + ... + 14110023.

Almost surely, 212853816448 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 12853816448

12853816448 is an abundant number, since it is smaller than the sum of its proper divisors (15323884747).

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

12853816448 is an frugal number, since it uses more digits than its factorization.

12853816448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 924 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 50.

Multiplying 12853816448 by its sum of digits (50), we get a square (642690822400 = 8016802).

The spelling of 12853816448 in words is "twelve billion, eight hundred fifty-three million, eight hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 911 968 1408 1822 1936 3644 3872 7288 7744 10021 14576 15488 20042 29152 40084 58304 80168 110231 116608 160336 220462 320672 440924 641344 829921 881848 1282688 1659842 1763696 3319684 3527392 6639368 7054784 9129131 13278736 14109568 18258262 26557472 36516524 53114944 73033048 100420441 106229888 146066096 200840882 292132192 401681764 584264384 803363528 1168528768 1606727056 3213454112 6426908224 12853816448