Search a number
-
+
12490209248 = 2511238091907
BaseRepresentation
bin10111010000111100…
…10111011111100000
31012020110112101000112
423220132113133200
5201034443143443
65423220310452
7621343012136
oct135036273740
935213471015
1012490209248
11532a441090
122506b42428
13124089c37a
14866b85756
154d1802b18
hex2e87977e0

12490209248 has 96 divisors (see below), whose sum is σ = 28041189120. Its totient is φ = 5420968960.

The previous prime is 12490209233. The next prime is 12490209293. The reversal of 12490209248 is 84290209421.

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 15 ways as a sum of consecutive naturals, for example, 6548711 + ... + 6550617.

It is an arithmetic number, because the mean of its divisors is an integer number (292095720).

Almost surely, 212490209248 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 12490209248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020594560).

12490209248 is an abundant number, since it is smaller than the sum of its proper divisors (15550979872).

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

12490209248 is a wasteful number, since it uses less digits than its factorization.

12490209248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 12490209248 in words is "twelve billion, four hundred ninety million, two hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 809 1012 1618 1907 2024 3236 3814 4048 6472 7628 8096 8899 12944 15256 17798 18607 20977 25888 30512 35596 37214 41954 43861 61024 71192 74428 83908 87722 142384 148856 167816 175444 204677 284768 297712 335632 350888 409354 482471 595424 671264 701776 818708 964942 1403552 1542763 1637416 1929884 3085526 3274832 3859768 6171052 6549664 7719536 12342104 15439072 16970393 24684208 33940786 35483549 49368416 67881572 70967098 135763144 141934196 271526288 283868392 390319039 543052576 567736784 780638078 1135473568 1561276156 3122552312 6245104624 12490209248