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4713396480 = 28345132269
BaseRepresentation
bin1000110001111000…
…01011100100000000
3110011111002100110000
410120330023210000
534123112141410
62055412240000
7224542131462
oct43074134400
913144070400
104713396480
111aa96535a1
12ab6610000
135a1671600
14329db8132
151c8be1dc0
hex118f0b900

4713396480 has 540 divisors, whose sum is σ = 18330418260. Its totient is φ = 1155907584.

The previous prime is 4713396451. The next prime is 4713396487. The reversal of 4713396480 is 846933174.

It can be written as a sum of positive squares in 6 ways, for example, as 2070614016 + 2642782464 = 45504^2 + 51408^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×47133964802 = 44432212755352780800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4713396487) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17521786 + ... + 17522054.

It is an arithmetic number, because the mean of its divisors is an integer number (33945219).

Almost surely, 24713396480 is an apocalyptic number.

4713396480 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 4713396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9165209130).

4713396480 is an abundant number, since it is smaller than the sum of its proper divisors (13617021780).

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

4713396480 is a wasteful number, since it uses less digits than its factorization.

4713396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 292 counting only the distinct ones).

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

The square root of 4713396480 is about 68654.1803534206. The cubic root of 4713396480 is about 1676.6586649808.

The spelling of 4713396480 in words is "four billion, seven hundred thirteen million, three hundred ninety-six thousand, four hundred eighty".