Search a number
-
+
12202403408 = 2413671038501
BaseRepresentation
bin10110101110101000…
…11110011001010000
31011111101222022121222
423113110132121100
5144442303402113
65334455504212
7611246501066
oct132724363120
934441868558
1012202403408
1151a1a36318
122446688068
1311c6080a60
1483a868036
154b6401e08
hex2d751e650

12202403408 has 80 divisors (see below), whose sum is σ = 26094746496. Its totient is φ = 5493312000.

The previous prime is 12202403407. The next prime is 12202403467. The reversal of 12202403408 is 80430420221.

12202403408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202403407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1431158 + ... + 1439658.

Almost surely, 212202403408 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 12202403408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13047373248).

12202403408 is an abundant number, since it is smaller than the sum of its proper divisors (13892343088).

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

12202403408 is a wasteful number, since it uses less digits than its factorization.

12202403408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8692 (or 8686 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 12202403408 its reverse (80430420221), we get a palindrome (92632823629).

The spelling of 12202403408 in words is "twelve billion, two hundred two million, four hundred three thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 52 67 103 104 134 206 208 268 412 536 824 871 1072 1339 1648 1742 2678 3484 5356 6901 6968 8501 10712 13802 13936 17002 21424 27604 34004 55208 68008 89713 110416 110513 136016 179426 221026 358852 442052 569567 717704 875603 884104 1139134 1435408 1751206 1768208 2278268 3502412 4556536 7004824 7404371 9113072 11382839 14009648 14808742 22765678 29617484 45531356 58665401 59234968 91062712 117330802 118469936 182125424 234661604 469323208 762650213 938646416 1525300426 3050600852 6101201704 12202403408