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4516239780 = 22335132113049
BaseRepresentation
bin1000011010011000…
…00101100110100100
3102122202002202022000
410031030011212210
533222124133110
62024050405300
7216626255553
oct41514054644
912582082260
104516239780
111a08332878
12a60590830
1356c871540
1430bb35d9a
151b674a1c0
hex10d3059a4

4516239780 has 192 divisors, whose sum is σ = 15208032000. Its totient is φ = 1106058240.

The previous prime is 4516239779. The next prime is 4516239787. The reversal of 4516239780 is 879326154.

4516239780 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

4516239780 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (4516239787) 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 63 ways as a sum of consecutive naturals, for example, 1479696 + ... + 1482744.

It is an arithmetic number, because the mean of its divisors is an integer number (79208500).

It is a 1-persistent number, because it is pandigital, but 2⋅4516239780 = 9032479560 is not.

Almost surely, 24516239780 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 4516239780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7604016000).

4516239780 is an abundant number, since it is smaller than the sum of its proper divisors (10691792220).

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

4516239780 is a wasteful number, since it uses less digits than its factorization.

4516239780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4516239780 is about 67202.9744877412. The cubic root of 4516239780 is about 1652.9472613370.

The spelling of 4516239780 in words is "four billion, five hundred sixteen million, two hundred thirty-nine thousand, seven hundred eighty".