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4325006664 = 2334112323137
BaseRepresentation
bin1000000011100101…
…00101110101001000
3102011102021002210000
410001302211311020
532324200203124
61553055523000
7212114643606
oct40162456510
912142232700
104325006664
11191a398580
12a08529460
1353c066754
142d0596876
151a4a736c9
hex101ca5d48

4325006664 has 480 divisors, whose sum is σ = 14645917440. Its totient is φ = 1180396800.

The previous prime is 4325006663. The next prime is 4325006731. The reversal of 4325006664 is 4666005234.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4325006663) 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 119 ways as a sum of consecutive naturals, for example, 116892054 + ... + 116892090.

It is an arithmetic number, because the mean of its divisors is an integer number (30512328).

Almost surely, 24325006664 is an apocalyptic number.

4325006664 is a gapful number since it is divisible by the number (44) 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 4325006664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7322958720).

4325006664 is an abundant number, since it is smaller than the sum of its proper divisors (10320910776).

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

4325006664 is a wasteful number, since it uses less digits than its factorization.

4325006664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4325006664 is about 65764.7828552638. The cubic root of 4325006664 is about 1629.2795019119.

The spelling of 4325006664 in words is "four billion, three hundred twenty-five million, six thousand, six hundred sixty-four".