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644666436 = 2232101177301
BaseRepresentation
bin100110011011001…
…101010001000100
31122221001110002200
4212123031101010
52310013311221
6143545234500
721655400661
oct4633152104
91587043080
10644666436
11300996487
1215ba92a30
13a373743b
1461892a68
153b8e2426
hex266cd444

644666436 has 36 divisors (see below), whose sum is σ = 1645717164. Its totient is φ = 212760000.

The previous prime is 644666419. The next prime is 644666437. The reversal of 644666436 is 634666446.

It can be written as a sum of positive squares in 2 ways, for example, as 440748036 + 203918400 = 20994^2 + 14280^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 644666391 and 644666400.

It is not an unprimeable number, because it can be changed into a prime (644666437) 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, 85015 + ... + 92286.

Almost surely, 2644666436 is an apocalyptic number.

It is an amenable number.

644666436 is an abundant number, since it is smaller than the sum of its proper divisors (1001050728).

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

644666436 is a wasteful number, since it uses less digits than its factorization.

644666436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177412 (or 177407 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The square root of 644666436 is about 25390.2823143028. The cubic root of 644666436 is about 863.8632917704.

The spelling of 644666436 in words is "six hundred forty-four million, six hundred sixty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 177301 354602 531903 709204 1063806 1595709 2127612 3191418 6382836 17907401 35814802 53722203 71629604 107444406 161166609 214888812 322333218 644666436