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21421412412 = 22310716683343
BaseRepresentation
bin10011111100110100…
…001101000000111100
32001021220011111111220
4103330310031000330
5322332340144122
613501343113340
71355562000261
oct237464150074
961256144456
1021421412412
1190a2913224
124199ba2850
13203501267a
141072dad268
1585594025c
hex4fcd0d03c

21421412412 has 24 divisors (see below), whose sum is σ = 50450432256. Its totient is φ = 7073737008.

The previous prime is 21421412407. The next prime is 21421412413.

It is a happy number.

21421412412 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21421412413) 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 7 ways as a sum of consecutive naturals, for example, 8340388 + ... + 8342955.

It is an arithmetic number, because the mean of its divisors is an integer number (2102101344).

Almost surely, 221421412412 is an apocalyptic number.

It is an amenable number.

21421412412 is an abundant number, since it is smaller than the sum of its proper divisors (29029019844).

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

21421412412 is a wasteful number, since it uses less digits than its factorization.

21421412412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16683457 (or 16683455 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The spelling of 21421412412 in words is "twenty-one billion, four hundred twenty-one million, four hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 107 214 321 428 642 1284 16683343 33366686 50050029 66733372 100100058 200200116 1785117701 3570235402 5355353103 7140470804 10710706206 21421412412