Search a number
-
+
65666616480 = 2532545601817
BaseRepresentation
bin111101001010000010…
…010000110010100000
320021111102022202012200
4331022002100302200
52033441123211410
650100011253200
74513165013313
oct751202206240
9207442282180
1065666616480
1125938102983
121088774a200
13626673a0aa
14326d2bc97a
151a94e853c0
hexf4a090ca0

65666616480 has 72 divisors (see below), whose sum is σ = 224087333652. Its totient is φ = 17511097344.

The previous prime is 65666616461. The next prime is 65666616487. The reversal of 65666616480 is 8461666656.

It can be written as a sum of positive squares in 2 ways, for example, as 65619994896 + 46621584 = 256164^2 + 6828^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (65666616487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22799469 + ... + 22802348.

Almost surely, 265666616480 is an apocalyptic number.

65666616480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65666616480 is an abundant number, since it is smaller than the sum of its proper divisors (158420717172).

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

65666616480 is a wasteful number, since it uses less digits than its factorization.

65666616480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45601838 (or 45601827 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 65666616480 in words is "sixty-five billion, six hundred sixty-six million, six hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 45601817 91203634 136805451 182407268 228009085 273610902 364814536 410416353 456018170 547221804 684027255 729629072 820832706 912036340 1094443608 1368054510 1459258144 1641665412 1824072680 2052081765 2188887216 2736109020 3283330824 3648145360 4104163530 4377774432 5472218040 6566661648 7296290720 8208327060 10944436080 13133323296 16416654120 21888872160 32833308240 65666616480