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12146624135345 = 571607215959181
BaseRepresentation
bin1011000011000001101100…
…1101111000000010110001
31121000012120010020220221202
42300300123031320002301
53043002241234312340
641500025422100545
72362364445420530
oct260603315700261
947005503226852
1012146624135345
113963399731967
12144211ba1a755
136a156374699b
142ddc84c86317
15160e65463c15
hexb0c1b3780b1

12146624135345 has 16 divisors (see below), whose sum is σ = 16668593503488. Its totient is φ = 8323930633920.

The previous prime is 12146624135287. The next prime is 12146624135423. The reversal of 12146624135345 is 54353142664121.

It is not a de Polignac number, because 12146624135345 - 28 = 12146624135089 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12146624135345.

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, 107923346 + ... + 108035835.

It is an arithmetic number, because the mean of its divisors is an integer number (1041787093968).

Almost surely, 212146624135345 is an apocalyptic number.

It is an amenable number.

12146624135345 is a deficient number, since it is larger than the sum of its proper divisors (4521969368143).

12146624135345 is a wasteful number, since it uses less digits than its factorization.

12146624135345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215960800.

The product of its digits is 2073600, while the sum is 47.

Adding to 12146624135345 its reverse (54353142664121), we get a palindrome (66499766799466).

The spelling of 12146624135345 in words is "twelve trillion, one hundred forty-six billion, six hundred twenty-four million, one hundred thirty-five thousand, three hundred forty-five".

Divisors: 1 5 7 35 1607 8035 11249 56245 215959181 1079795905 1511714267 7558571335 347046403867 1735232019335 2429324827069 12146624135345