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4334613696 = 26337251193
BaseRepresentation
bin1000000100101110…
…01111010011000000
3102012002100012011000
410002113033103000
532334130114241
61554041452000
7212262415500
oct40227172300
912162305130
104334613696
11192485a476
12a0b7a1000
1354104b49a
142d1977a00
151a581eeb6
hex1025cf4c0

4334613696 has 168 divisors, whose sum is σ = 14823734640. Its totient is φ = 1238436864.

The previous prime is 4334613691. The next prime is 4334613721. The reversal of 4334613696 is 6963164334.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (4334613691) 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 23 ways as a sum of consecutive naturals, for example, 59076 + ... + 110268.

Almost surely, 24334613696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4334613696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7411867320).

4334613696 is an abundant number, since it is smaller than the sum of its proper divisors (10489120944).

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

4334613696 is a wasteful number, since it uses less digits than its factorization.

4334613696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51228 (or 51205 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 4334613696 is about 65837.7831947583. The cubic root of 4334613696 is about 1630.4849694231.

The spelling of 4334613696 in words is "four billion, three hundred thirty-four million, six hundred thirteen thousand, six hundred ninety-six".