Search a number
-
+
12763267072 = 22217179
BaseRepresentation
bin10111110001100000…
…00000000000000000
31012221111100010221021
423320300000000000
5202114344021242
65510253035224
7631166660113
oct137060000000
935844303837
1012763267072
11545a593506
122582485b14
131285325c4a
1489114457a
154ea78db67
hex2f8c00000

12763267072 has 92 divisors (see below), whose sum is σ = 27179086680. Its totient is φ = 5972688896.

The previous prime is 12763267057. The next prime is 12763267073. The reversal of 12763267072 is 27076236721.

It is not an unprimeable number, because it can be changed into a prime (12763267073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71303079 + ... + 71303257.

Almost surely, 212763267072 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 12763267072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13589543340).

12763267072 is an abundant number, since it is smaller than the sum of its proper divisors (14415819608).

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

12763267072 is an frugal number, since it uses more digits than its factorization.

12763267072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 43.

The spelling of 12763267072 in words is "twelve billion, seven hundred sixty-three million, two hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 179 256 272 358 512 544 716 1024 1088 1432 2048 2176 2864 3043 4096 4352 5728 6086 8192 8704 11456 12172 16384 17408 22912 24344 32768 34816 45824 48688 65536 69632 91648 97376 131072 139264 183296 194752 262144 278528 366592 389504 524288 557056 733184 779008 1048576 1114112 1466368 1558016 2097152 2228224 2932736 3116032 4194304 4456448 5865472 6232064 8912896 11730944 12464128 17825792 23461888 24928256 35651584 46923776 49856512 71303168 93847552 99713024 187695104 199426048 375390208 398852096 750780416 797704192 1595408384 3190816768 6381633536 12763267072