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21412215264 = 2531120276719
BaseRepresentation
bin10011111100010001…
…000111100111100000
32001021020212020101210
4103330101013213200
5322323011342024
613500414030120
71355420553366
oct237421074740
961236766353
1021412215264
119098701280
124196aa8340
13203314237b
141071a97636
15854c25129
hex4fc4479e0

21412215264 has 48 divisors (see below), whose sum is σ = 61316801280. Its totient is φ = 6488549760.

The previous prime is 21412215257. The next prime is 21412215283. The reversal of 21412215264 is 46251221412.

It is a tau number, because it is divible by the number of its divisors (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 7 ways as a sum of consecutive naturals, for example, 10137304 + ... + 10139415.

It is an arithmetic number, because the mean of its divisors is an integer number (1277433360).

Almost surely, 221412215264 is an apocalyptic number.

21412215264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21412215264 is an abundant number, since it is smaller than the sum of its proper divisors (39904586016).

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

21412215264 is a wasteful number, since it uses less digits than its factorization.

21412215264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20276743 (or 20276735 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

Adding to 21412215264 its reverse (46251221412), we get a palindrome (67663436676).

The spelling of 21412215264 in words is "twenty-one billion, four hundred twelve million, two hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 20276719 40553438 60830157 81106876 121660314 162213752 223043909 243320628 324427504 446087818 486641256 648855008 669131727 892175636 973282512 1338263454 1784351272 1946565024 2676526908 3568702544 5353053816 7137405088 10706107632 21412215264