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268274274304 = 21280932
BaseRepresentation
bin1111100111011001100…
…1001001000000000000
3221122110111101011202111
43321312121021000000
513343411203234204
6323124332425104
725245041464261
oct3716631110000
9848414334674
10268274274304
11a3857919a93
1243bb0618194
131c3b508095a
14cdad836968
156ea22edd04
hex3e76649000

268274274304 has 39 divisors (see below), whose sum is σ = 536549349913. Its totient is φ = 134120562688.

The previous prime is 268274274299. The next prime is 268274274313. The reversal of 268274274304 is 403472472862.

The square root of 268274274304 is 517952.

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

It can be written as a sum of positive squares in only one way, i.e., 117456998400 + 150817275904 = 342720^2 + 388352^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 33144882 + ... + 33152974.

Almost surely, 2268274274304 is an apocalyptic number.

268274274304 is the 517952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268274274304

268274274304 is an abundant number, since it is smaller than the sum of its proper divisors (268275075609).

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

268274274304 is an frugal number, since it uses more digits than its factorization.

268274274304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16210 (or 8095 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 49.

Multiplying 268274274304 by its sum of digits (49), we get a square (13145439440896 = 36256642).

The spelling of 268274274304 in words is "two hundred sixty-eight billion, two hundred seventy-four million, two hundred seventy-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8093 16186 32372 64744 129488 258976 517952 1035904 2071808 4143616 8287232 16574464 33148928 65496649 130993298 261986596 523973192 1047946384 2095892768 4191785536 8383571072 16767142144 33534284288 67068568576 134137137152 268274274304