Search a number
-
+
12162253824 = 210327188527
BaseRepresentation
bin10110101001110110…
…10100010000000000
31011101121102111202100
423110323110100000
5144402014110244
65330503150400
7610251310650
oct132473242000
934347374670
1012162253824
115181303346
122435145400
1311ba9640c6
148353b6360
154b2b20b69
hex2d4ed4400

12162253824 has 132 divisors (see below), whose sum is σ = 40135348864. Its totient is φ = 3474911232.

The previous prime is 12162253823. The next prime is 12162253853. The reversal of 12162253824 is 42835226121.

12162253824 is a `hidden beast` number, since 1 + 2 + 1 + 622 + 5 + 3 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12162253823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29752 + ... + 158775.

Almost surely, 212162253824 is an apocalyptic number.

12162253824 is a gapful number since it is divisible by the number (14) 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 12162253824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20067674432).

12162253824 is an abundant number, since it is smaller than the sum of its proper divisors (27973095040).

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

12162253824 is a wasteful number, since it uses less digits than its factorization.

12162253824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188560 (or 188539 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 12162253824 its reverse (42835226121), we get a palindrome (54997479945).

The spelling of 12162253824 in words is "twelve billion, one hundred sixty-two million, two hundred fifty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 32256 64512 188527 377054 565581 754108 1131162 1319689 1508216 1696743 2262324 2639378 3016432 3393486 3959067 4524648 5278756 6032864 6786972 7918134 9049296 10557512 11877201 12065728 13573944 15836268 18098592 21115024 23754402 24131456 27147888 31672536 36197184 42230048 47508804 48262912 54295776 63345072 72394368 84460096 95017608 96525824 108591552 126690144 144788736 168920192 190035216 193051648 217183104 253380288 289577472 337840384 380070432 434366208 506760576 579154944 675680768 760140864 868732416 1013521152 1351361536 1520281728 1737464832 2027042304 3040563456 4054084608 6081126912 12162253824