Search a number
-
+
16320105234225 = 3252132207172
BaseRepresentation
bin1110110101111101001000…
…0100110011111100110001
32010210012001012020112221100
43231133102010303330301
54114342033414443400
654413204114115013
73303042264430302
oct355372204637461
963705035215840
1016320105234225
115222354a38821
1219b6b4227ba69
13914c96748900
14405c7c2da7a9
151d47cb691100
hexed7d2133f31

16320105234225 has 81 divisors (see below), whose sum is σ = 31654162801443. Its totient is φ = 8034125523840.

The previous prime is 16320105234187. The next prime is 16320105234259. The reversal of 16320105234225 is 52243250102361.

The square root of 16320105234225 is 4039815.

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

16320105234225 is a `hidden beast` number, since 1 + 6 + 3 + 201 + 0 + 5 + 23 + 422 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 14018367180321 + 2301738053904 = 3744111^2 + 1517148^2 .

It is not a de Polignac number, because 16320105234225 - 29 = 16320105233713 is a prime.

It is a super-2 number, since 2×163201052342252 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16320105234225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 787753567 + ... + 787774283.

Almost surely, 216320105234225 is an apocalyptic number.

16320105234225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16320105234225 is the 4039815-th square number.

16320105234225 is the 2019908-th centered octagonal number.

It is an amenable number.

16320105234225 is a deficient number, since it is larger than the sum of its proper divisors (15334057567218).

16320105234225 is an frugal number, since it uses more digits than its factorization.

16320105234225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41476 (or 20738 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 16320105234225 by its sum of digits (36), we get a square (587523788432100 = 242388902).

Adding to 16320105234225 its reverse (52243250102361), we get a palindrome (68563355336586).

The spelling of 16320105234225 in words is "sixteen trillion, three hundred twenty billion, one hundred five million, two hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 845 975 1521 2535 2925 4225 7605 12675 20717 38025 62151 103585 186453 269321 310755 517925 807963 932265 1346605 1553775 2423889 3501173 4039815 4661325 6733025 10503519 12119445 17505865 20199075 31510557 52517595 60597225 87529325 157552785 262587975 429194089 787763925 1287582267 2145970445 3862746801 5579523157 6437911335 10729852225 16738569471 19313734005 27897615785 32189556675 50215708413 72533801041 83692847355 96568670025 139488078925 217601403123 251078542065 362669005205 418464236775 652804209369 1088007015615 1255392710325 1813345026025 3264021046845 5440035078075 16320105234225