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245343351530432 = 26317310715831643
BaseRepresentation
bin110111110010001101110011…
…010100001110001111000000
31012011200121002000011010222102
4313302031303110032033000
5224124201140442433212
62225445102453125532
7102451320652112531
oct6762156324161700
91164617060133872
10245343351530432
11711a059293a681
12236252280298a8
13a6b8a17c83c4c
144482978346688
151d56e24a045c2
hexdf237350e3c0

245343351530432 has 112 divisors (see below), whose sum is σ = 514203691318272. Its totient is φ = 115994008074240.

The previous prime is 245343351530423. The next prime is 245343351530443. The reversal of 245343351530432 is 234035153343542.

245343351530432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7581203 + ... + 23412845.

Almost surely, 2245343351530432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245343351530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257101845659136).

245343351530432 is an abundant number, since it is smaller than the sum of its proper divisors (268860339787840).

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

245343351530432 is a wasteful number, since it uses less digits than its factorization.

245343351530432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15831866 (or 15831856 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 47.

The spelling of 245343351530432 in words is "two hundred forty-five trillion, three hundred forty-three billion, three hundred fifty-one million, five hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 73 107 124 146 214 248 292 428 496 584 856 992 1168 1712 1984 2263 2336 3317 3424 4526 4672 6634 6848 7811 9052 13268 15622 18104 26536 31244 36208 53072 62488 72416 106144 124976 144832 212288 242141 249952 484282 499904 968564 1937128 3874256 7748512 15497024 15831643 31663286 63326572 126653144 253306288 490780933 506612576 981561866 1013225152 1155709939 1693985801 1963123732 2311419878 3387971602 3926247464 4622839756 6775943204 7852494928 9245679512 13551886408 15704989856 18491359024 27103772816 31409979712 35827008109 36982718048 52513559831 54207545632 71654016218 73965436096 105027119662 108415091264 123660963473 143308032436 210054239324 247321926946 286616064872 420108478648 494643853892 573232129744 840216957296 989287707784 1146464259488 1680433914592 1978575415568 2292928518976 3360867829184 3833489867663 3957150831136 7666979735326 7914301662272 15333959470652 30667918941304 61335837882608 122671675765216 245343351530432