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12525887248 = 247219781101
BaseRepresentation
bin10111010101001100…
…11101111100010000
31012022221200000000221
423222212131330100
5201123111342443
65430533122424
7622255166500
oct135246357420
935287600027
1012525887248
11534859a536
122516a89414
1312480b1904
1486b7d1a00
154d49edeed
hex2ea99df10

12525887248 has 60 divisors (see below), whose sum is σ = 28374832332. Its totient is φ = 5340921600.

The previous prime is 12525887221. The next prime is 12525887267. The reversal of 12525887248 is 84278852521.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11178409984 + 1347477264 = 105728^2 + 36708^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12525887195 and 12525887204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113898 + ... + 194998.

Almost surely, 212525887248 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 12525887248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14187416166).

12525887248 is an abundant number, since it is smaller than the sum of its proper divisors (15848945084).

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

12525887248 is a wasteful number, since it uses less digits than its factorization.

12525887248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81320 (or 81307 counting only the distinct ones).

The product of its digits is 2867200, while the sum is 52.

The spelling of 12525887248 in words is "twelve billion, five hundred twenty-five million, eight hundred eighty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 197 392 394 784 788 1379 1576 2758 3152 5516 9653 11032 19306 22064 38612 77224 81101 154448 162202 324404 567707 648808 1135414 1297616 2270828 3973949 4541656 7947898 9083312 15895796 15976897 31791592 31953794 63583184 63907588 111838279 127815176 223676558 255630352 447353116 782867953 894706232 1565735906 1789412464 3131471812 6262943624 12525887248