Search a number
-
+
12166457808 = 2433761112303
BaseRepresentation
bin10110101010010110…
…10110100111010000
31011101220100002112110
423111023112213100
5144404103122213
65331133225320
7610332120321
oct132513264720
934356302473
1012166457808
11518371490a
122436632240
1311bb7a677b
14835b8c448
154b31a15c3
hex2d52d69d0

12166457808 has 80 divisors (see below), whose sum is σ = 32808939776. Its totient is φ = 3881157120.

The previous prime is 12166457789. The next prime is 12166457837. The reversal of 12166457808 is 80875466121.

12166457808 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 (48).

It is a congruent number.

It is an unprimeable number.

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, 52185 + ... + 164487.

Almost surely, 212166457808 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 12166457808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16404469888).

12166457808 is an abundant number, since it is smaller than the sum of its proper divisors (20642481968).

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

12166457808 is a wasteful number, since it uses less digits than its factorization.

12166457808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112412 (or 112406 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 12166457808 in words is "twelve billion, one hundred sixty-six million, four hundred fifty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 61 74 111 122 148 183 222 244 296 366 444 488 592 732 888 976 1464 1776 2257 2928 4514 6771 9028 13542 18056 27084 36112 54168 108336 112303 224606 336909 449212 673818 898424 1347636 1796848 2695272 4155211 5390544 6850483 8310422 12465633 13700966 16620844 20551449 24931266 27401932 33241688 41102898 49862532 54803864 66483376 82205796 99725064 109607728 164411592 199450128 253467871 328823184 506935742 760403613 1013871484 1520807226 2027742968 3041614452 4055485936 6083228904 12166457808