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64327669641 = 34281812
BaseRepresentation
bin111011111010001110…
…100101011110001001
320011001002212012110000
4323322032211132021
52023220340412031
645315101113213
74435046112234
oct737216453611
9204032765400
1064327669641
1125310324344
1210573258809
1360b2216a61
14318354041b
151a176503e6
hexefa3a5789

64327669641 has 15 divisors (see below), whose sum is σ = 96097830103. Its totient is φ = 42883591320.

The previous prime is 64327669633. The next prime is 64327669661. The reversal of 64327669641 is 14696672346.

It is a happy number.

The square root of 64327669641 is 253629.

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

It can be written as a sum of positive squares in only one way, i.e., 58747579641 + 5580090000 = 242379^2 + 74700^2 .

It is not a de Polignac number, because 64327669641 - 23 = 64327669633 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (64327669661) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2268571 + ... + 2296751.

Almost surely, 264327669641 is an apocalyptic number.

64327669641 is the 253629-th square number.

64327669641 is the 126815-th centered octagonal number.

It is an amenable number.

64327669641 is a deficient number, since it is larger than the sum of its proper divisors (31770160462).

64327669641 is an frugal number, since it uses more digits than its factorization.

64327669641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56374 (or 28184 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 64327669641 in words is "sixty-four billion, three hundred twenty-seven million, six hundred sixty-nine thousand, six hundred forty-one".

Divisors: 1 3 9 27 81 28181 84543 253629 760887 2282661 794168761 2382506283 7147518849 21442556547 64327669641