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63204430644 = 22321755678629
BaseRepresentation
bin111010110111010001…
…110001001100110100
320001010211021202012200
4322313101301030310
52013420313240034
645011414144500
74365156540045
oct726721611464
9201124252180
1063204430644
1124894287253
12102bb052130
135c635ba5b4
1430b82b28cc
15199dc28a99
hexeb7471334

63204430644 has 18 divisors (see below), whose sum is σ = 159766755330. Its totient is φ = 21068143536.

The previous prime is 63204430613. The next prime is 63204430657. The reversal of 63204430644 is 44603440236.

63204430644 is a `hidden beast` number, since 6 + 3 + 2 + 0 + 4 + 4 + 3 + 0 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34529072400 + 28675358244 = 185820^2 + 169338^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1755678629 = 63204430644 / (6 + 3 + 2 + 0 + 4 + 4 + 3 + 0 + 6 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 63204430599 and 63204430608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 877839279 + ... + 877839350.

Almost surely, 263204430644 is an apocalyptic number.

It is an amenable number.

63204430644 is an abundant number, since it is smaller than the sum of its proper divisors (96562324686).

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

63204430644 is a wasteful number, since it uses less digits than its factorization.

63204430644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755678639 (or 1755678634 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 63204430644 in words is "sixty-three billion, two hundred four million, four hundred thirty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1755678629 3511357258 5267035887 7022714516 10534071774 15801107661 21068143548 31602215322 63204430644