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52540005342 = 23113121914337
BaseRepresentation
bin110000111011101000…
…001101101111011110
312000121121021210220210
4300323220031233132
51330100220132332
640045254353250
73536663451066
oct607350155736
9160547253823
1052540005342
1120311510720
12a22365b826
134c54068276
142785bd63a6
151577873ecc
hexc3ba0dbde

52540005342 has 96 divisors (see below), whose sum is σ = 119097464832. Its totient is φ = 15323424000.

The previous prime is 52540005281. The next prime is 52540005359. The reversal of 52540005342 is 24350004525.

It is a super-2 number, since 2×525400053422 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12112198 + ... + 12116534.

It is an arithmetic number, because the mean of its divisors is an integer number (1240598592).

Almost surely, 252540005342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52540005342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59548732416).

52540005342 is an abundant number, since it is smaller than the sum of its proper divisors (66557459490).

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

52540005342 is a wasteful number, since it uses less digits than its factorization.

52540005342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 4575 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 52540005342 its reverse (24350004525), we get a palindrome (76890009867).

The spelling of 52540005342 in words is "fifty-two billion, five hundred forty million, five thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 191 341 382 573 682 961 1023 1146 1922 2046 2101 2883 4202 4337 5766 5921 6303 8674 10571 11842 12606 13011 17763 21142 26022 31713 35526 47707 63426 65131 95414 130262 134447 143121 183551 195393 268894 286242 367102 390786 403341 550653 806682 828367 1101306 1478917 1656734 2019061 2485101 2957834 4038122 4167857 4436751 4970202 6057183 8335714 8873502 9112037 12114366 12503571 18224074 25007142 25679377 27336111 45846427 51358754 54672222 77038131 91692854 137539281 154076262 275078562 282473147 564946294 796060687 847419441 1592121374 1694838882 2388182061 4776364122 8756667557 17513335114 26270002671 52540005342