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4660425120 = 253513273787
BaseRepresentation
bin1000101011100100…
…00111000110100000
3110000210102010101210
410111302013012200
534021032100440
62050241030120
7223326650151
oct42562070640
913023363353
104660425120
111a8176340a
12aa0925340
135936b5900
14322d49928
151c422ba80
hex115c871a0

4660425120 has 288 divisors, whose sum is σ = 16134697152. Its totient is φ = 1130029056.

The previous prime is 4660425113. The next prime is 4660425131. The reversal of 4660425120 is 215240664.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5921367 + ... + 5922153.

It is an arithmetic number, because the mean of its divisors is an integer number (56023254).

Almost surely, 24660425120 is an apocalyptic number.

4660425120 is a gapful number since it is divisible by the number (40) 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 4660425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8067348576).

4660425120 is an abundant number, since it is smaller than the sum of its proper divisors (11474272032).

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

4660425120 is a wasteful number, since it uses less digits than its factorization.

4660425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4660425120 is about 68267.3063772110. The cubic root of 4660425120 is about 1670.3539618079.

Adding to 4660425120 its reverse (215240664), we get a palindrome (4875665784).

The spelling of 4660425120 in words is "four billion, six hundred sixty million, four hundred twenty-five thousand, one hundred twenty".