Search a number
-
+
5304453859600 = 245272164512
BaseRepresentation
bin100110100110000101000…
…0101101000100100010000
3200210002201111202122221021
41031030022011220210100
51143402010142001400
615140455451205224
71055143211604100
oct115141205504420
920702644678837
105304453859600
111765673a0a465
12718056a46814
132c6291862c4c
14144a46223200
1592eaae0771a
hex4d30a168910

5304453859600 has 135 divisors (see below), whose sum is σ = 14825496551781. Its totient is φ = 1818559344000.

The previous prime is 5304453859597. The next prime is 5304453859667. The reversal of 5304453859600 is 69583544035.

The square root of 5304453859600 is 2303140.

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., 1909603389456 + 3394850470144 = 1381884^2 + 1842512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 322431375 + ... + 322447825.

Almost surely, 25304453859600 is an apocalyptic number.

5304453859600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5304453859600 is the 2303140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5304453859600

5304453859600 is an abundant number, since it is smaller than the sum of its proper divisors (9521042692181).

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

5304453859600 is an frugal number, since it uses more digits than its factorization.

5304453859600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32934 (or 16465 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 52.

The spelling of 5304453859600 in words is "five trillion, three hundred four billion, four hundred fifty-three million, eight hundred fifty-nine thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2800 3920 4900 9800 16451 19600 32902 65804 82255 115157 131608 164510 230314 263216 329020 411275 460628 575785 658040 806099 822550 921256 1151570 1316080 1612198 1645100 1842512 2303140 2878925 3224396 3290200 4030495 4606280 5757850 6448792 6580400 8060990 9212560 11515700 12897584 16121980 20152475 23031400 32243960 40304950 46062800 64487920 80609900 161219800 270635401 322439600 541270802 1082541604 1353177005 1894447807 2165083208 2706354010 3788895614 4330166416 5412708020 6765885025 7577791228 9472239035 10825416040 13261134649 13531770050 15155582456 18944478070 21650832080 26522269298 27063540100 30311164912 37888956140 47361195175 53044538596 54127080200 66305673245 75777912280 94722390350 106089077192 108254160400 132611346490 151555824560 189444780700 212178154384 265222692980 331528366225 378889561400 530445385960 663056732450 757779122800 1060890771920 1326113464900 2652226929800 5304453859600