Search a number
-
+
10994927539600 = 245229257172
BaseRepresentation
bin1001111111111111010011…
…0000000001010110010000
31102221002211101220222202201
42133333310300001112100
52420120102422231400
635214555555052544
72213233361034124
oct237776460012620
942832741828681
1010994927539600
113559a16a60384
121296a82ba1154
13619a81574ab4
142a022ba11584
1514100b1dd06a
hex9fff4c01590

10994927539600 has 135 divisors (see below), whose sum is σ = 27362381843017. Its totient is φ = 4245574090240.

The previous prime is 10994927539597. The next prime is 10994927539627. The reversal of 10994927539600 is 693572949901.

It is a happy number.

The square root of 10994927539600 is 3315860.

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

10994927539600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 5872925721744 + 5122001817856 = 2423412^2 + 2263184^2 .

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, 1923195942 + ... + 1923201658.

Almost surely, 210994927539600 is an apocalyptic number.

10994927539600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10994927539600 is the 3315860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10994927539600

10994927539600 is an abundant number, since it is smaller than the sum of its proper divisors (16367454303417).

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

10994927539600 is an frugal number, since it uses more digits than its factorization.

10994927539600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11510 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 64.

Multiplying 10994927539600 by its sum of digits (64), we get a square (703675362534400 = 265268802).

The spelling of 10994927539600 in words is "ten trillion, nine hundred ninety-four billion, nine hundred twenty-seven million, five hundred thirty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 841 1160 1450 1682 2320 2900 3364 4205 5717 5800 6728 8410 11434 11600 13456 16820 21025 22868 28585 33640 42050 45736 57170 67280 84100 91472 114340 142925 165793 168200 228680 285850 331586 336400 457360 571700 663172 828965 1143400 1326344 1657930 2286800 2652688 3315860 4144825 4807997 6631720 8289650 9615994 13263440 16579300 19231988 24039985 32684089 33158600 38463976 48079970 65368178 66317200 76927952 96159940 120199925 130736356 163420445 192319880 240399850 261472712 326840890 384639760 480799700 522945424 653681780 817102225 947838581 961599400 1307363560 1634204450 1895677162 1923198800 2614727120 3268408900 3791354324 4739192905 6536817800 7582708648 9478385810 13073635600 15165417296 18956771620 23695964525 27487318849 37913543240 47391929050 54974637698 75827086480 94783858100 109949275396 137436594245 189567716200 219898550792 274873188490 379135432400 439797101584 549746376980 687182971225 1099492753960 1374365942450 2198985507920 2748731884900 5497463769800 10994927539600