Search a number
-
+
4525473363856 = 2419223212172
BaseRepresentation
bin100000111011010101100…
…1110110111011110010000
3121000122001000112101010021
41001312223032313132100
51043121132140120411
613342550155513224
7644645306622424
oct101665316673620
917018030471107
104525473363856
11149527380a395
12611097a58814
1326a99a569c73
1411906972ab84
157cab8116a71
hex41dab3b7790

4525473363856 has 135 divisors (see below), whose sum is σ = 9681662971281. Its totient is φ = 2048758474752.

The previous prime is 4525473363841. The next prime is 4525473363863. The reversal of 4525473363856 is 6583633745254.

The square root of 4525473363856 is 2127316.

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., 1518661875600 + 3006811488256 = 1232340^2 + 1734016^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4525473363794 and 4525473363803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3718547760 + ... + 3718548976.

Almost surely, 24525473363856 is an apocalyptic number.

4525473363856 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4525473363856 is the 2127316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4525473363856

4525473363856 is an abundant number, since it is smaller than the sum of its proper divisors (5156189607425).

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

4525473363856 is an equidigital number, since it uses as much as digits as its factorization.

4525473363856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 1261 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 61.

The spelling of 4525473363856 in words is "four trillion, five hundred twenty-five billion, four hundred seventy-three million, three hundred sixty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 361 368 437 529 722 874 1058 1217 1444 1748 2116 2434 2888 3496 4232 4868 5776 6992 8303 8464 9736 10051 16606 19472 20102 23123 27991 33212 40204 46246 55982 66424 80408 92492 111964 132848 160816 184984 190969 223928 369968 381938 439337 447856 531829 643793 763876 878674 1063658 1287586 1481089 1527752 1757348 2127316 2575172 2962178 3055504 3514696 4254632 5150344 5924356 7029392 8509264 10104751 10300688 11848712 12232067 20209502 23697424 24464134 28140691 34065047 40419004 48928268 56281382 68130094 80838008 97856536 112562764 136260188 161676016 195713072 225125528 232409273 272520376 450251056 464818546 534673129 545040752 647235893 783496081 929637092 1069346258 1294471786 1566992162 1859274184 2138692516 2588943572 3133984324 3718548368 4277385032 5177887144 6267968648 8554770064 10355774288 12297481967 12535937296 14886425539 24594963934 29772851078 49189927868 59545702156 98379855736 119091404312 196759711472 238182808624 282842085241 565684170482 1131368340964 2262736681928 4525473363856