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64609384843014 = 231119533173066641
BaseRepresentation
bin11101011000011000010110…
…11011101100011100000110
322110202121010010011200202220
432230030023123230130012
531432030010004434024
6345225050332313210
716415605533564114
oct1654141333543406
9273677103150686
1064609384843014
111964a760420780
1272b5894312806
132a0883c71a06b
1411d517a4acab4
15770989774e79
hex3ac30b6ec706

64609384843014 has 128 divisors (see below), whose sum is σ = 151661884101120. Its totient is φ = 18140770252800.

The previous prime is 64609384843009. The next prime is 64609384843049. The reversal of 64609384843014 is 41034848390646.

64609384843014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 19535134 + ... + 22601774.

It is an arithmetic number, because the mean of its divisors is an integer number (1184858469540).

Almost surely, 264609384843014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64609384843014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75830942050560).

64609384843014 is an abundant number, since it is smaller than the sum of its proper divisors (87052499258106).

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

64609384843014 is a wasteful number, since it uses less digits than its factorization.

64609384843014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067046.

The product of its (nonzero) digits is 47775744, while the sum is 60.

The spelling of 64609384843014 in words is "sixty-four trillion, six hundred nine billion, three hundred eighty-four million, eight hundred forty-three thousand, fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 53 57 66 106 114 159 209 317 318 418 583 627 634 951 1007 1166 1254 1749 1902 2014 3021 3487 3498 6023 6042 6974 10461 11077 12046 16801 18069 20922 22154 33231 33602 36138 50403 66253 66462 100806 132506 184811 198759 319219 369622 397518 554433 638438 957657 1108866 1915314 3066641 3511409 6133282 7022818 9199923 10534227 18399846 21068454 33733051 58266179 67466102 101199153 116532358 162531973 174798537 202398306 325063946 349597074 487595919 640927969 972125197 975191838 1281855938 1787851703 1922783907 1944250394 2916375591 3088107487 3575703406 3845567814 5363555109 5832751182 6176214974 9264322461 10693377167 10727110218 18470378743 18528644922 21386754334 32080131501 33969182357 36940757486 51522635441 55411136229 64160263002 67938364714 101907547071 103045270882 110822272458 154567906323 203174166173 203815094142 309135812646 406348332346 566748989851 609522498519 978930073379 1133497979702 1219044997038 1700246969553 1957860146758 2936790220137 3400493939106 5873580440274 10768230807169 21536461614338 32304692421507 64609384843014