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249990378851125 = 53114717322360249
BaseRepresentation
bin111000110101110101101011…
…101110101000101100110101
31012210010211212022220022122001
4320311311223232220230311
5230231320243441214000
62243403554500135301
7103441131430443133
oct7065655356505465
91183124768808561
10249990378851125
1172722362697930
1224055988097531
13a964cb763c953
1445a3855526753
151dd7c5422846a
hexe35d6bba8b35

249990378851125 has 64 divisors (see below), whose sum is σ = 349601256576000. Its totient is φ = 176914282176000.

The previous prime is 249990378851113. The next prime is 249990378851141. The reversal of 249990378851125 is 521158873099942.

249990378851125 is a nontrivial binomial coefficient, being equal to C(22360250, 2).

It is not a de Polignac number, because 249990378851125 - 29 = 249990378850613 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1 + ... + 22360249.

It is an arithmetic number, because the mean of its divisors is an integer number (5462519634000).

Almost surely, 2249990378851125 is an apocalyptic number.

249990378851125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

249990378851125 is the 22360249-th triangular number and also the 11180125-th hexagonal number.

249990378851125 is the 7453417-th centered nonagonal number.

It is an amenable number.

249990378851125 is a deficient number, since it is larger than the sum of its proper divisors (99610877724875).

249990378851125 is a wasteful number, since it uses less digits than its factorization.

249990378851125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22360495 (or 22360485 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 73.

The spelling of 249990378851125 in words is "two hundred forty-nine trillion, nine hundred ninety billion, three hundred seventy-eight million, eight hundred fifty-one thousand, one hundred twenty-five".

Divisors: 1 5 11 25 47 55 125 173 235 275 517 865 1175 1375 1903 2585 4325 5875 8131 9515 12925 21625 40655 47575 64625 89441 203275 237875 447205 1016375 2236025 11180125 22360249 111801245 245962739 559006225 1050931703 1229813695 2795031125 3868323077 5254658515 6149068475 11560248733 19341615385 26273292575 30745342375 42551553847 57801243665 96708076925 131366462875 181811184619 212757769235 289006218325 483540384625 909055923095 1063788846175 1445031091625 1999923030809 4545279615475 5318944230875 9999615154045 22726398077375 49998075770225 249990378851125