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694721664 = 2733713472
BaseRepresentation
bin101001011010001…
…001110010000000
31210102020111222000
4221122021302000
52410322043124
6152534144000
723134015410
oct5132116200
91712214860
10694721664
1132717473a
121747b2000
13b0c11a10
14683a2640
1540ecd6c9
hex29689c80

694721664 has 384 divisors, whose sum is σ = 2578396800. Its totient is φ = 179324928.

The previous prime is 694721653. The next prime is 694721669. The reversal of 694721664 is 466127496.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (435456) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (694721669) 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 47 ways as a sum of consecutive naturals, for example, 14781289 + ... + 14781335.

It is an arithmetic number, because the mean of its divisors is an integer number (6714575).

Almost surely, 2694721664 is an apocalyptic number.

694721664 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 694721664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289198400).

694721664 is an abundant number, since it is smaller than the sum of its proper divisors (1883675136).

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

694721664 is a wasteful number, since it uses less digits than its factorization.

694721664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 72 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 694721664 is about 26357.5731811561. The cubic root of 694721664 is about 885.6666278703. Note that the first 4 decimals are identical.

The spelling of 694721664 in words is "six hundred ninety-four million, seven hundred twenty-one thousand, six hundred sixty-four".