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12148421427216 = 2432117779716291
BaseRepresentation
bin1011000011001000011001…
…0110000000000000010000
31121000101012101011210220100
42300302012112000000100
53043014431341132331
641500524024212400
72362460131225524
oct260620626000020
947011171153810
1012148421427216
113964131206948
12144254190a100
136a178bbc91b9
142dddb5855d84
1516101d134ae6
hexb0c86580010

12148421427216 has 60 divisors (see below), whose sum is σ = 33999043319280. Its totient is φ = 4049433773760.

The previous prime is 12148421427143. The next prime is 12148421427223. The reversal of 12148421427216 is 61272412484121.

12148421427216 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 8 + 4 + 2 + 1 + 427 + 216 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16602031 + ... + 17318321.

It is an arithmetic number, because the mean of its divisors is an integer number (566650721988).

Almost surely, 212148421427216 is an apocalyptic number.

12148421427216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12148421427216 is an abundant number, since it is smaller than the sum of its proper divisors (21850621892064).

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

12148421427216 is a wasteful number, since it uses less digits than its factorization.

12148421427216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834084 (or 834075 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The spelling of 12148421427216 in words is "twelve trillion, one hundred forty-eight billion, four hundred twenty-one million, four hundred twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 117779 235558 353337 471116 706674 716291 942232 1060011 1413348 1432582 1884464 2120022 2148873 2826696 2865164 4240044 4297746 5653392 5730328 6446619 8480088 8595492 11460656 12893238 16960176 17190984 25786476 34381968 51572952 103145904 84364037689 168728075378 253092113067 337456150756 506184226134 674912301512 759276339201 1012368452268 1349824603024 1518552678402 2024736904536 3037105356804 4049473809072 6074210713608 12148421427216