Search a number
-
+
12576276736 = 284321632
BaseRepresentation
bin10111011011001101…
…01100000100000000
31012110110111001102021
423231212230010000
5201224011323421
65435533131224
7623436405562
oct135546540400
935413431367
1012576276736
115373a86941
12252b929b14
13125567538a
1487438b332
154d9154341
hex2ed9ac100

12576276736 has 81 divisors (see below), whose sum is σ = 25859445759. Its totient is φ = 6104222208.

The previous prime is 12576276733. The next prime is 12576276841. The reversal of 12576276736 is 63767267521.

The square root of 12576276736 is 112144.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12576276733) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77154991 + ... + 77155153.

Almost surely, 212576276736 is an apocalyptic number.

12576276736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12576276736 is the 112144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12576276736

12576276736 is an abundant number, since it is smaller than the sum of its proper divisors (13283169023).

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

12576276736 is an frugal number, since it uses more digits than its factorization.

12576276736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 208 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 52.

The spelling of 12576276736 in words is "twelve billion, five hundred seventy-six million, two hundred seventy-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 163 172 256 326 344 652 688 1304 1376 1849 2608 2752 3698 5216 5504 7009 7396 10432 11008 14018 14792 20864 26569 28036 29584 41728 53138 56072 59168 106276 112144 118336 212552 224288 236672 301387 425104 448576 473344 602774 850208 897152 1142467 1205548 1700416 1794304 2284934 2411096 3400832 4569868 4822192 6801664 9139736 9644384 18279472 19288768 36558944 38577536 49126081 73117888 77155072 98252162 146235776 196504324 292471552 393008648 786017296 1572034592 3144069184 6288138368 12576276736