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12748567100 = 22523131712973
BaseRepresentation
bin10111101111101111…
…11011001000111100
31012220110200022100212
423313313323020330
5202102113121400
65505010011552
7630631014053
oct136767731074
935813608325
1012748567100
115452263175
122579576bb8
13128227a039
1488d1d939a
154e9338335
hex2f7dfb23c

12748567100 has 72 divisors (see below), whose sum is σ = 28649083008. Its totient is φ = 4918982400.

The previous prime is 12748567099. The next prime is 12748567151. The reversal of 12748567100 is 176584721.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 976214 + ... + 989186.

Almost surely, 212748567100 is an apocalyptic number.

12748567100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12748567100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14324541504).

12748567100 is an abundant number, since it is smaller than the sum of its proper divisors (15900515908).

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

12748567100 is a wasteful number, since it uses less digits than its factorization.

12748567100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13335 (or 13328 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The spelling of 12748567100 in words is "twelve billion, seven hundred forty-eight million, five hundred sixty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 317 620 634 775 1268 1550 1585 3100 3170 6340 7925 9827 12973 15850 19654 25946 31700 39308 49135 51892 64865 98270 129730 196540 245675 259460 324325 402163 491350 648650 804326 982700 1297300 1608652 2010815 4021630 4112441 8043260 8224882 10054075 16449764 20108150 20562205 40216300 41124410 82248820 102811025 127485671 205622050 254971342 411244100 509942684 637428355 1274856710 2549713420 3187141775 6374283550 12748567100