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9824996215225 = 524326122392
BaseRepresentation
bin1000111011111000111101…
…1010001100100110111001
31021210021000212201212102001
42032332033122030212321
52241433043012341400
632521312502341001
72032555364616322
oct216761732144671
937707025655361
109824996215225
113148837254334
12112819742a761
13563654648c59
1425d764acb449
15120886194a6a
hex8ef8f68c9b9

9824996215225 has 81 divisors (see below), whose sum is σ = 12734015174829. Its totient is φ = 7519754894400.

The previous prime is 9824996215219. The next prime is 9824996215267. The reversal of 9824996215225 is 5225126994289.

The square root of 9824996215225 is 3134485.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4525571220921 + 5299424994304 = 2127339^2 + 2302048^2 .

It is not a de Polignac number, because 9824996215225 - 227 = 9824861997497 is a prime.

It is a Duffinian number.

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, 41108770656 + ... + 41108770894.

Almost surely, 29824996215225 is an apocalyptic number.

9824996215225 is the 3134485-th square number.

9824996215225 is the 1567243-rd centered octagonal number.

It is an amenable number.

9824996215225 is a deficient number, since it is larger than the sum of its proper divisors (2909018959604).

9824996215225 is an frugal number, since it uses more digits than its factorization.

9824996215225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 348 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 64.

Multiplying 9824996215225 by its sum of digits (64), we get a square (628799757774400 = 250758802).

The spelling of 9824996215225 in words is "nine trillion, eight hundred twenty-four billion, nine hundred ninety-six million, two hundred fifteen thousand, two hundred twenty-five".

Divisors: 1 5 25 43 61 215 239 305 1075 1195 1525 1849 2623 3721 5975 9245 10277 13115 14579 18605 46225 51385 57121 65575 72895 93025 112789 160003 256925 285605 364475 441911 563945 626897 800015 889319 1428025 2209555 2456203 2819725 3134485 3484381 4000075 4446595 6880129 11047775 12281015 15672425 17421905 22232975 26956571 34400645 38240717 61405075 87109525 105616729 134782855 149828383 172003225 191203585 212547241 528083645 673914275 749141915 956017925 1062736205 1644350831 2640418225 3745709575 5313681025 6442620469 8221754155 9139531363 32213102345 41108770775 45697656815 161065511725 228488284075 392999848609 1964999243045 9824996215225