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21412421412 = 22319234083223
BaseRepresentation
bin10011111100010001…
…111001111100100100
32001021021020201011220
4103330101321330210
5322323034441122
613500422300340
71355422402404
oct237421717444
961237221156
1021412421412
119098832148
124196b876b0
1320331b5155
141071b0c804
15854c6625c
hex4fc479f24

21412421412 has 48 divisors (see below), whose sum is σ = 54878530560. Its totient is φ = 6467823648.

The previous prime is 21412421377. The next prime is 21412421447.

It is a happy number.

21412421412 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (21412421377) and next prime (21412421447).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2036368 + ... + 2046855.

It is an arithmetic number, because the mean of its divisors is an integer number (1143302720).

Almost surely, 221412421412 is an apocalyptic number.

It is an amenable number.

21412421412 is an abundant number, since it is smaller than the sum of its proper divisors (33466109148).

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

21412421412 is a wasteful number, since it uses less digits than its factorization.

21412421412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083272 (or 4083270 counting only the distinct ones).

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

The spelling of 21412421412 in words is "twenty-one billion, four hundred twelve million, four hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2622 5244 4083223 8166446 12249669 16332892 24499338 48998676 77581237 93914129 155162474 187828258 232743711 281742387 310324948 375656516 465487422 563484774 930974844 1126969548 1784368451 3568736902 5353105353 7137473804 10706210706 21412421412