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65155440459664 = 24672301192
BaseRepresentation
bin11101101000010001011101…
…11000100011111110010000
322112200210120200011010220001
432310020232320203332100
532020001320224202124
6350323555055255344
716503216361002352
oct1664105670437620
9275623520133801
1065155440459664
11198402a35a4675
12738368921a554
132a48193389bb9
14121377c2290d2
1577ec98811b44
hex3b422ee23f90

65155440459664 has 45 divisors (see below), whose sum is σ = 128155201824027. Its totient is φ = 32090420109792.

The previous prime is 65155440459643. The next prime is 65155440459751. The reversal of 65155440459664 is 46695404455156.

The square root of 65155440459664 is 8071892.

It is a perfect power (a square), and thus also a powerful number.

65155440459664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×651554404596642 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 65155440459596 and 65155440459605.

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 8 ways as a sum of consecutive naturals, for example, 2163251997 + ... + 2163282115.

Almost surely, 265155440459664 is an apocalyptic number.

65155440459664 is the 8071892-nd square number.

It is an amenable number.

65155440459664 is a deficient number, since it is larger than the sum of its proper divisors (62999761364363).

65155440459664 is an frugal number, since it uses more digits than its factorization.

65155440459664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60380 (or 30188 counting only the distinct ones).

The product of its (nonzero) digits is 311040000, while the sum is 64.

The spelling of 65155440459664 in words is "sixty-five trillion, one hundred fifty-five billion, four hundred forty million, four hundred fifty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 67 134 268 536 1072 4489 8978 17956 30119 35912 60238 71824 120476 240952 481904 2017973 4035946 8071892 16143784 32287568 135204191 270408382 540816764 907154161 1081633528 1814308322 2163267056 3628616644 7257233288 14514466576 60779328787 121558657574 243117315148 486234630296 972469260592 4072215028729 8144430057458 16288860114916 32577720229832 65155440459664