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4352112534 = 23711291572069
BaseRepresentation
bin1000000110110011…
…11111011110010110
3102020022021020001010
410003121333132112
532403120100114
61555504513050
7212564226510
oct40331773626
912208236033
104352112534
111933721620
12a1561b786
13544867323
142d4010bb0
151a7129c59
hex10367f796

4352112534 has 128 divisors (see below), whose sum is σ = 11303193600. Its totient is φ = 1083962880.

The previous prime is 4352112503. The next prime is 4352112559.

4352112534 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2102452 + ... + 2104520.

It is an arithmetic number, because the mean of its divisors is an integer number (88306200).

Almost surely, 24352112534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4352112534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651596800).

4352112534 is an abundant number, since it is smaller than the sum of its proper divisors (6951081066).

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

4352112534 is a wasteful number, since it uses less digits than its factorization.

4352112534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278.

The product of its digits is 14400, while the sum is 30.

The square root of 4352112534 is about 65970.5429263698. The cubic root of 4352112534 is about 1632.6761131020.

It can be divided in two parts, 4352 and 112534, that added together give a triangular number (116886 = T483).

The spelling of 4352112534 in words is "four billion, three hundred fifty-two million, one hundred twelve thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 154 157 174 203 231 314 319 406 462 471 609 638 942 957 1099 1218 1727 1914 2069 2198 2233 3297 3454 4138 4466 4553 5181 6207 6594 6699 9106 10362 12089 12414 13398 13659 14483 22759 24178 27318 28966 31871 36267 43449 45518 50083 60001 63742 68277 72534 86898 95613 100166 120002 136554 150249 159313 180003 191226 300498 318626 324833 350581 360006 420007 477939 649666 660011 701162 840014 955878 974499 1051743 1260021 1320022 1948998 1980033 2103486 2273831 2520042 3573163 3960066 4547662 4620077 6821493 7146326 9240154 9420157 10719489 13642986 13860231 18840314 21438978 25012141 27720462 28260471 50024282 56520942 65941099 75036423 103621727 131882198 150072846 197823297 207243454 310865181 395646594 621730362 725352089 1450704178 2176056267 4352112534