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52418268036 = 2232232912717189
BaseRepresentation
bin110000110100010111…
…110100101110000100
312000022010012220201200
4300310113310232010
51324323034034121
640025225222500
73533654632611
oct606427645604
9160263186650
1052418268036
1120259822682
12a1aa931a30
134c34a83664
142773987508
15156bd28a26
hexc345f4b84

52418268036 has 144 divisors (see below), whose sum is σ = 144164966400. Its totient is φ = 16008765696.

The previous prime is 52418268031. The next prime is 52418268041. The reversal of 52418268036 is 63086281425.

52418268036 is a `hidden beast` number, since 524 + 18 + 2 + 6 + 80 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (52418268031) and next prime (52418268041).

It is a junction number, because it is equal to n+sod(n) for n = 52418267982 and 52418268000.

It is not an unprimeable number, because it can be changed into a prime (52418268031) 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 47 ways as a sum of consecutive naturals, for example, 3040930 + ... + 3058118.

It is an arithmetic number, because the mean of its divisors is an integer number (1001145600).

Almost surely, 252418268036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52418268036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72082483200).

52418268036 is an abundant number, since it is smaller than the sum of its proper divisors (91746698364).

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

52418268036 is a wasteful number, since it uses less digits than its factorization.

52418268036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17378 (or 17373 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 52418268036 in words is "fifty-two billion, four hundred eighteen million, two hundred sixty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 127 138 174 207 254 261 276 348 381 414 508 522 667 762 828 1044 1143 1334 1524 2001 2286 2668 2921 3683 4002 4572 5842 6003 7366 8004 8763 11049 11684 12006 14732 17189 17526 22098 24012 26289 33147 34378 35052 44196 51567 52578 66294 68756 84709 103134 105156 132588 154701 169418 206268 254127 309402 338836 395347 498481 508254 618804 762381 790694 996962 1016508 1186041 1495443 1524762 1581388 1993924 2183003 2372082 2990886 3049524 3558123 4366006 4486329 4744164 5981772 6549009 7116246 8732012 8972658 11465063 13098018 14232492 17945316 19647027 22930126 26196036 34395189 39294054 45860252 50209069 63307087 68790378 78588108 100418138 103185567 126614174 137580756 150627207 189921261 200836276 206371134 253228348 301254414 379842522 412742268 451881621 569763783 602508828 759685044 903763242 1139527566 1456063001 1807526484 2279055132 2912126002 4368189003 5824252004 8736378006 13104567009 17472756012 26209134018 52418268036