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4718701680 = 24357111989151
BaseRepresentation
bin1000110010100000…
…11010110001110000
3110011212001212210220
410121100122301300
534130441423210
62100122053040
7224635205520
oct43120326160
913155055726
104718701680
112001647460
12ab834a180
135a27ab294
1432a999680
151c93ddc70
hex11941ac70

4718701680 has 640 divisors, whose sum is σ = 19541606400. Its totient is φ = 912384000.

The previous prime is 4718701633. The next prime is 4718701693. The reversal of 4718701680 is 861078174.

It is a happy number.

It is a super-2 number, since 2×47187016802 = 44532291089669644800, which contains 22 as substring.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 31249605 + ... + 31249755.

It is an arithmetic number, because the mean of its divisors is an integer number (30533760).

Almost surely, 24718701680 is an apocalyptic number.

4718701680 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 4718701680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9770803200).

4718701680 is an abundant number, since it is smaller than the sum of its proper divisors (14822904720).

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

4718701680 is a wasteful number, since it uses less digits than its factorization.

4718701680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 4718701680 is about 68692.8066102995. The cubic root of 4718701680 is about 1677.2874878399.

The spelling of 4718701680 in words is "four billion, seven hundred eighteen million, seven hundred one thousand, six hundred eighty".