Search a number
-
+
12297922816 = 282922392
BaseRepresentation
bin10110111010000001…
…10110100100000000
31011202001201012121211
423131000312210000
5200141232012231
65352151055504
7613516422244
oct133500664400
934661635554
1012297922816
115240947483
122472671594
13120cab600a
14849410424
154be9bdeb1
hex2dd036900

12297922816 has 81 divisors (see below), whose sum is σ = 25530291241. Its totient is φ = 5912087552.

The previous prime is 12297922781. The next prime is 12297922823. The reversal of 12297922816 is 61822979221.

It is a happy number.

The square root of 12297922816 is 110896.

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

It can be written as a sum of positive squares in only one way, i.e., 6448732416 + 5849190400 = 80304^2 + 76480^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12297922816.

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 8 ways as a sum of consecutive naturals, for example, 51455625 + ... + 51455863.

Almost surely, 212297922816 is an apocalyptic number.

12297922816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12297922816 is the 110896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12297922816

12297922816 is an abundant number, since it is smaller than the sum of its proper divisors (13232368425).

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

12297922816 is an frugal number, since it uses more digits than its factorization.

12297922816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 270 counting only the distinct ones).

The product of its digits is 435456, while the sum is 49.

Multiplying 12297922816 by its sum of digits (49), we get a square (602598217984 = 7762722).

The spelling of 12297922816 in words is "twelve billion, two hundred ninety-seven million, nine hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 239 256 464 478 841 928 956 1682 1856 1912 3364 3712 3824 6728 6931 7424 7648 13456 13862 15296 26912 27724 30592 53824 55448 57121 61184 107648 110896 114242 200999 215296 221792 228484 401998 443584 456968 803996 887168 913936 1607992 1656509 1774336 1827872 3215984 3313018 3655744 6431968 6626036 7311488 12863936 13252072 14622976 25727872 26504144 48038761 51455744 53008288 96077522 106016576 192155044 212033152 384310088 424066304 768620176 1537240352 3074480704 6148961408 12297922816