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264393412864 = 287245912
BaseRepresentation
bin1111011000111100010…
…0110101000100000000
3221021110000211222200121
43312033010311010000
513312434203202424
6321243300230024
725046625633400
oct3661704650400
9837400758617
10264393412864
11a2146209389
12432a899b314
131bc17044039
14cb22256800
156d2675dee4
hex3d8f135100

264393412864 has 81 divisors (see below), whose sum is σ = 614051714871. Its totient is φ = 113286781440.

The previous prime is 264393412853. The next prime is 264393412879. The reversal of 264393412864 is 468214393462.

The square root of 264393412864 is 514192.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57587209 + ... + 57591799.

Almost surely, 2264393412864 is an apocalyptic number.

264393412864 is the 514192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264393412864

264393412864 is an abundant number, since it is smaller than the sum of its proper divisors (349658302007).

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

264393412864 is an frugal number, since it uses more digits than its factorization.

264393412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9212 (or 4600 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 52.

The spelling of 264393412864 in words is "two hundred sixty-four billion, three hundred ninety-three million, four hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 4591 6272 9182 12544 18364 32137 36728 64274 73456 128548 146912 224959 257096 293824 449918 514192 587648 899836 1028384 1175296 1799672 2056768 3599344 4113536 7198688 8227072 14397376 21077281 28794752 42154562 57589504 84309124 147540967 168618248 295081934 337236496 590163868 674472992 1032786769 1180327736 1348945984 2065573538 2360655472 2697891968 4131147076 4721310944 5395783936 8262294152 9442621888 16524588304 18885243776 33049176608 37770487552 66098353216 132196706432 264393412864