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4719414084 = 22371131376173
BaseRepresentation
bin1000110010100110…
…01000101101000100
3110011220102002001020
410121103020231010
534131132222314
62100145231140
7224644233510
oct43123105504
913156362036
104719414084
112001a93720
12ab86324b0
135a299a618
1432ab03140
151c94ceda9
hex1194c8b44

4719414084 has 384 divisors, whose sum is σ = 14996373504. Its totient is φ = 1119744000.

The previous prime is 4719414083. The next prime is 4719414109. The reversal of 4719414084 is 4804149174.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4719414083) 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 127 ways as a sum of consecutive naturals, for example, 64649472 + ... + 64649544.

It is an arithmetic number, because the mean of its divisors is an integer number (39053056).

Almost surely, 24719414084 is an apocalyptic number.

4719414084 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 4719414084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7498186752).

4719414084 is an abundant number, since it is smaller than the sum of its proper divisors (10276959420).

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

4719414084 is a wasteful number, since it uses less digits than its factorization.

4719414084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 4719414084 is about 68697.9918483794. The cubic root of 4719414084 is about 1677.3718928499.

The spelling of 4719414084 in words is "four billion, seven hundred nineteen million, four hundred fourteen thousand, eighty-four".