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10252344130532 = 2273121712594877
BaseRepresentation
bin1001010100110000111101…
…0101000111101111100100
31100022010002111020021111222
42111030033111013233210
52320433300044134112
633445510055315512
72105464434146000
oct225141725075744
940263074207458
1010252344130532
1132a2aa3a90229
121196b8137bb98
13594a3aa711aa
14276304db9700
1512ba48949372
hex9530f547be4

10252344130532 has 96 divisors (see below), whose sum is σ = 20961273312000. Its totient is φ = 4385864792064.

The previous prime is 10252344130487. The next prime is 10252344130537. The reversal of 10252344130532 is 23503144325201.

It is a super-2 number, since 2×102523441305322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10252344130492 and 10252344130501.

It is not an unprimeable number, because it can be changed into a prime (10252344130537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2102180078 + ... + 2102184954.

It is an arithmetic number, because the mean of its divisors is an integer number (218346597000).

Almost surely, 210252344130532 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 10252344130532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10480636656000).

10252344130532 is an abundant number, since it is smaller than the sum of its proper divisors (10708929181468).

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

10252344130532 is a wasteful number, since it uses less digits than its factorization.

10252344130532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378 (or 7362 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 10252344130532 its reverse (23503144325201), we get a palindrome (33755488455733).

The spelling of 10252344130532 in words is "ten trillion, two hundred fifty-two billion, three hundred forty-four million, one hundred thirty thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1217 1259 1372 2434 2518 4868 4877 5036 8519 8813 9754 17038 17626 19508 34076 34139 35252 59633 61691 68278 119266 123382 136556 238532 238973 246764 417431 431837 477946 834862 863674 955892 1532203 1669724 1672811 1727348 3064406 3345622 5935309 6128812 6140143 6691244 10725421 11870618 12280286 21450842 23741236 24560572 41547163 42901684 42981001 75077947 83094326 85962002 150155894 166188652 171924004 290830141 300311788 300867007 525545629 581660282 601734014 1051091258 1163320564 1203468028 2035810987 2102182516 2106069049 4071621974 4212138098 7472554031 8143243948 8424276196 14945108062 29890216124 52307878217 104615756434 209231512868 366155147519 732310295038 1464620590076 2563086032633 5126172065266 10252344130532