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64412188121446 = 211171018237207017
BaseRepresentation
bin11101010010101001000011…
…00101111001100101100110
322110001202010010202022100121
432221110201211321211212
531420312130124341241
6344554314542232154
716365425032241404
oct1651244145714546
9273052103668317
1064412188121446
1119584067a77110
12728361b58565a
1329c3074105429
1411c97d0826474
1576a797486ad1
hex3a9521979966

64412188121446 has 64 divisors (see below), whose sum is σ = 112721062515264. Its totient is φ = 27279740416000.

The previous prime is 64412188121443. The next prime is 64412188121537.

64412188121446 is nontrivially palindromic in base 10.

64412188121446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 64412188121393 and 64412188121402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64412188121443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311040930 + ... + 311247946.

It is an arithmetic number, because the mean of its divisors is an integer number (1761266601801).

Almost surely, 264412188121446 is an apocalyptic number.

64412188121446 is a deficient number, since it is larger than the sum of its proper divisors (48308874393818).

64412188121446 is a wasteful number, since it uses less digits than its factorization.

64412188121446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215385.

The product of its digits is 2359296, while the sum is 52.

The spelling of 64412188121446 in words is "sixty-four trillion, four hundred twelve billion, one hundred eighty-eight million, one hundred twenty-one thousand, four hundred forty-six".

Divisors: 1 2 11 17 22 34 101 187 202 374 1111 1717 2222 3434 8237 16474 18887 37774 90607 140029 181214 207017 280058 414034 831937 1540319 1663874 2277187 3080638 3519289 4554374 7038578 9151307 14142929 18302614 20908717 28285858 38712179 41817434 77424358 155572219 229995887 311144438 355448189 459991774 710896378 1705199029 3410398058 3909930079 7819860158 18757189319 28988383493 37514378638 57976766986 172225101929 318872218423 344450203858 637744436846 1894476121219 2927826732793 3788952242438 5855653465586 32206094060723 64412188121446