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245375777025625 = 54509212312
BaseRepresentation
bin110111110010101100000000…
…000001101010111001011001
31012011210200202210102222020211
4313302230000001222321121
5224130214042404310000
62225512024212051121
7102453546333222121
oct6762540001527131
91164720683388224
10245375777025625
117120331221a094
122362b577303aa1
13a6bbab49c03ac
144484372969c81
151d57bc153d7ba
hexdf2b0006ae59

245375777025625 has 45 divisors (see below), whose sum is σ = 307474930794603. Its totient is φ = 195755811180000.

The previous prime is 245375777025559. The next prime is 245375777025641. The reversal of 245375777025625 is 526520777573542.

The square root of 245375777025625 is 15664475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 109304578543689 + 136071198481936 = 10454883^2 + 11664956^2 .

It is not a de Polignac number, because 245375777025625 - 213 = 245375777017433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 199330443760 + ... + 199330444990.

Almost surely, 2245375777025625 is an apocalyptic number.

245375777025625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

245375777025625 is the 15664475-th square number.

245375777025625 is the 7832238-th centered octagonal number.

It is an amenable number.

245375777025625 is a deficient number, since it is larger than the sum of its proper divisors (62099153768978).

245375777025625 is an frugal number, since it uses more digits than its factorization.

245375777025625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 864360000, while the sum is 67.

The spelling of 245375777025625 in words is "two hundred forty-five trillion, three hundred seventy-five billion, seven hundred seventy-seven million, twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 509 625 1231 2545 6155 12725 30775 63625 153875 259081 318125 626579 769375 1295405 1515361 3132895 6477025 7576805 15664475 32385125 37884025 78322375 161925625 189420125 318928711 391611875 771318749 947100625 1594643555 3856593745 7973217775 19282968725 39866088875 96414843625 199330444375 392601243241 482074218125 1963006216205 9815031081025 49075155405125 245375777025625