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629705664 = 2634723767
BaseRepresentation
bin100101100010001…
…000101111000000
31121212220100210000
4211202020233000
52242201040124
6142252440000
721414260400
oct4542105700
91555810700
10629705664
112a34a8205
12156a79000
13a05c9903
145d8ba800
153a4396c9
hex25888bc0

629705664 has 420 divisors, whose sum is σ = 2263374696. Its totient is φ = 172440576.

The previous prime is 629705663. The next prime is 629705677. The reversal of 629705664 is 466507926.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629705663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9398559 + ... + 9398625.

Almost surely, 2629705664 is an apocalyptic number.

629705664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131687348).

629705664 is an abundant number, since it is smaller than the sum of its proper divisors (1633669032).

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

629705664 is a wasteful number, since it uses less digits than its factorization.

629705664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 629705664 is about 25093.9367975613. The cubic root of 629705664 is about 857.1283631835.

The spelling of 629705664 in words is "six hundred twenty-nine million, seven hundred five thousand, six hundred sixty-four".