Search a number
-
+
12211126464 = 263212929873
BaseRepresentation
bin10110101111101011…
…10000000011000000
31011112000101111102010
423113311300003000
5200002022021324
65335410452520
7611413601535
oct132765600300
934460344363
1012211126464
1151a6954059
122449594140
1311c7b16324
1483ba98d8c
154b7076829
hex2d7d700c0

12211126464 has 56 divisors (see below), whose sum is σ = 32324862960. Its totient is φ = 4068327424.

The previous prime is 12211126457. The next prime is 12211126493. The reversal of 12211126464 is 46462111221.

It is a super-2 number, since 2×122111264642 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393832 + ... + 423704.

Almost surely, 212211126464 is an apocalyptic number.

It is an amenable number.

12211126464 is an abundant number, since it is smaller than the sum of its proper divisors (20113736496).

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

12211126464 is a wasteful number, since it uses less digits than its factorization.

12211126464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32017 (or 32007 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

Adding to 12211126464 its reverse (46462111221), we get a palindrome (58673237685).

The spelling of 12211126464 in words is "twelve billion, two hundred eleven million, one hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2129 4258 6387 8516 12774 17032 25548 29873 34064 51096 59746 68128 89619 102192 119492 136256 179238 204384 238984 358476 408768 477968 716952 955936 1433904 1911872 2867808 5735616 63599617 127199234 190798851 254398468 381597702 508796936 763195404 1017593872 1526390808 2035187744 3052781616 4070375488 6105563232 12211126464