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263318817316 = 224725321032
BaseRepresentation
bin1111010100111100000…
…1100100101000100100
3221011200010210212201111
43311033001210220210
513303234104123231
6320544512034404
725011200005642
oct3651701445044
9834603725644
10263318817316
11a1744675895
1243048b32a04
131baa5519699
14ca5d64c192
156cb22454b1
hex3d4f064a24

263318817316 has 81 divisors (see below), whose sum is σ = 484576168881. Its totient is φ = 125199413664.

The previous prime is 263318817271. The next prime is 263318817317. The reversal of 263318817316 is 613718813362.

The square root of 263318817316 is 513146.

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., 189825776100 + 73493041216 = 435690^2 + 271096^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 263318817316.

It is not an unprimeable number, because it can be changed into a prime (263318817317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2556493321 + ... + 2556493423.

Almost surely, 2263318817316 is an apocalyptic number.

263318817316 is the 513146-th square number.

It is an amenable number.

263318817316 is a deficient number, since it is larger than the sum of its proper divisors (221257351565).

263318817316 is an equidigital number, since it uses as much as digits as its factorization.

263318817316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 205 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

Multiplying 263318817316 by its sum of digits (49), we get a square (12902622048484 = 35920222).

The spelling of 263318817316 in words is "two hundred sixty-three billion, three hundred eighteen million, eight hundred seventeen thousand, three hundred sixteen".

Divisors: 1 2 4 47 53 94 103 106 188 206 212 412 2209 2491 2809 4418 4841 4982 5459 5618 8836 9682 9964 10609 10918 11236 19364 21218 21836 42436 117077 132023 227527 234154 256573 264046 289327 455054 468308 498623 513146 528092 562277 578654 910108 997246 1026292 1124554 1157308 1994492 2249108 6205081 12058931 12410162 13598369 23435281 24117862 24820324 26427019 27196738 29800681 46870562 48235724 52854038 54393476 59601362 93741124 105708076 119202724 639123343 1242069893 1278246686 1400632007 2484139786 2556493372 2801264014 4968279572 5602528028 65829704329 131659408658 263318817316