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5303827518 = 23111743472339
BaseRepresentation
bin1001111000010000…
…11111110000111110
3111200122002100120020
410330020133300332
541330234440033
62234143233010
7245301534663
oct47410376076
914618070506
105303827518
112281966130
1210402a8766
13666a998a2
1438458da6a
1521096e6b3
hex13c21fc3e

5303827518 has 128 divisors (see below), whose sum is σ = 12809871360. Its totient is φ = 1445445120.

The previous prime is 5303827517. The next prime is 5303827553. The reversal of 5303827518 is 8157283035.

It is a super-3 number, since 3×53038275183 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5303827518.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5303827517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2266393 + ... + 2268731.

It is an arithmetic number, because the mean of its divisors is an integer number (100077120).

Almost surely, 25303827518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5303827518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404935680).

5303827518 is an abundant number, since it is smaller than the sum of its proper divisors (7506043842).

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

5303827518 is a wasteful number, since it uses less digits than its factorization.

5303827518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462.

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 5303827518 is about 72827.3816500360. The cubic root of 5303827518 is about 1743.9330064939.

The spelling of 5303827518 in words is "five billion, three hundred three million, eight hundred twenty-seven thousand, five hundred eighteen".

Divisors: 1 2 3 6 11 17 22 33 34 43 47 51 66 86 94 102 129 141 187 258 282 374 473 517 561 731 799 946 1034 1122 1419 1462 1551 1598 2021 2193 2339 2397 2838 3102 4042 4386 4678 4794 6063 7017 8041 8789 12126 14034 16082 17578 22231 24123 25729 26367 34357 39763 44462 48246 51458 52734 66693 68714 77187 79526 100577 103071 109933 119289 133386 154374 201154 206142 219866 238578 301731 329799 377927 437393 603462 659598 755854 874786 1106347 1133781 1209263 1312179 1709809 1868861 2212694 2267562 2418526 2624358 3319041 3419618 3627789 3737722 4727119 5129427 5606583 6638082 7255578 9454238 10258854 11213166 14181357 18807899 20557471 28362714 37615798 41114942 51998309 56423697 61672413 80361023 103996618 112847394 123344826 155994927 160722046 241083069 311989854 482166138 883971253 1767942506 2651913759 5303827518