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64242433424246 = 27112922962815639
BaseRepresentation
bin11101001101101100110110…
…11011000111101101110110
322102110111221122100012102012
432212312123123013231312
531410022000424033441
6344344322210044222
716350235250152640
oct1646663333075566
9272414848305365
1064242433424246
1119519076964630
127256744b79672
1329b005cc37a3c
1411c14c95a5890
1576615e4439eb
hex3a6d9b6c7b76

64242433424246 has 64 divisors (see below), whose sum is σ = 124827239808000. Its totient is φ = 24060901979520.

The previous prime is 64242433424231. The next prime is 64242433424249.

64242433424246 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 64242433424194 and 64242433424203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64242433424249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30385106 + ... + 32430533.

It is an arithmetic number, because the mean of its divisors is an integer number (1950425622000).

Almost surely, 264242433424246 is an apocalyptic number.

64242433424246 is a deficient number, since it is larger than the sum of its proper divisors (60584806383754).

64242433424246 is a wasteful number, since it uses less digits than its factorization.

64242433424246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62815917.

The product of its digits is 21233664, while the sum is 50.

It can be divided in two parts, 6424243 and 3424246, that added together give a palindrome (9848489).

The spelling of 64242433424246 in words is "sixty-four trillion, two hundred forty-two billion, four hundred thirty-three million, four hundred twenty-four thousand, two hundred forty-six".

Divisors: 1 2 7 11 14 22 29 58 77 154 203 229 319 406 458 638 1603 2233 2519 3206 4466 5038 6641 13282 17633 35266 46487 73051 92974 146102 511357 1022714 62815639 125631278 439709473 690972029 879418946 1381944058 1821653531 3643307062 4836804203 9673608406 12751574717 14384781331 20038188841 25503149434 28769562662 40076377682 100693469317 140267321887 158232594641 201386938634 280534643774 316465189282 417158658599 834317317198 1107628162487 2215256324974 2920110610193 4588745244589 5840221220386 9177490489178 32121216712123 64242433424246