Search a number
-
+
66435503364 = 22321845430649
BaseRepresentation
bin111101110111110111…
…010101010100000100
320100111000010020201200
4331313313111110010
52042024442101424
650304155222500
74541222314116
oct756767252404
9210430106650
1066435503364
11261a2122a8a
1210a61147a30
136359b18449
1433034693b6
151adc7138c9
hexf77dd5504

66435503364 has 18 divisors (see below), whose sum is σ = 167934189150. Its totient is φ = 22145167776.

The previous prime is 66435503363. The next prime is 66435503411. The reversal of 66435503364 is 46330553466.

66435503364 is a `hidden beast` number, since 6 + 6 + 4 + 3 + 550 + 33 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56007008964 + 10428494400 = 236658^2 + 102120^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×664355033642 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66435503363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 922715289 + ... + 922715360.

It is an arithmetic number, because the mean of its divisors is an integer number (9329677175).

Almost surely, 266435503364 is an apocalyptic number.

It is an amenable number.

66435503364 is an abundant number, since it is smaller than the sum of its proper divisors (101498685786).

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

66435503364 is a wasteful number, since it uses less digits than its factorization.

66435503364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845430659 (or 1845430654 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 66435503364 in words is "sixty-six billion, four hundred thirty-five million, five hundred three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1845430649 3690861298 5536291947 7381722596 11072583894 16608875841 22145167788 33217751682 66435503364