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65243453784964 = 2272132443812
BaseRepresentation
bin11101101010110101011001…
…11000110000001110000100
322120000012202110202022122221
432311122230320300032010
532022422043132104324
6350432232350302124
716512453414633400
oct1665325470601604
9276005673668587
1065243453784964
111987465884a644
1273987507b7944
132a5357b71c100
141217b2b33a100
157821ea55e0e4
hex3b56ace30384

65243453784964 has 81 divisors (see below), whose sum is σ = 143822865837231. Its totient is φ = 25810015533120.

The previous prime is 65243453784947. The next prime is 65243453784989. The reversal of 65243453784964 is 46948735434256.

The square root of 65243453784964 is 8077342.

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 14915893652100 + 50327560132864 = 3862110^2 + 7094192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 65243453784893 and 65243453784902.

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, 1470054054 + ... + 1470098434.

Almost surely, 265243453784964 is an apocalyptic number.

65243453784964 is the 8077342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65243453784964

65243453784964 is an abundant number, since it is smaller than the sum of its proper divisors (78579412052267).

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

65243453784964 is an frugal number, since it uses more digits than its factorization.

65243453784964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88806 (or 44403 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 70.

The spelling of 65243453784964 in words is "sixty-five trillion, two hundred forty-three billion, four hundred fifty-three million, seven hundred eighty-four thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2548 4732 8281 16562 33124 44381 88762 177524 310667 576953 621334 1153906 1242668 2174669 2307812 4038671 4349338 7500389 8077342 8698676 15000778 16154684 28270697 30001556 52502723 56541394 105005446 113082788 210010892 367519061 735038122 1470076244 1969673161 3939346322 7878692644 13787712127 25605751093 27575424254 51211502186 55150848508 96513984889 102423004372 179240257651 193027969778 332874764209 358480515302 386055939556 665749528418 716961030604 1254681803557 1331499056836 2330123349463 2509363607114 4660246698926 5018727214228 9320493397852 16310863446241 32621726892482 65243453784964