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4109298480 = 24345717732
BaseRepresentation
bin1111010011101110…
…1110101100110000
3101121101100222210000
43310323232230300
531403440022410
61515432310000
7203555314020
oct36473565460
911541328700
104109298480
111819656851
12968242300
1350646c681
142ada85a80
15190b64dc0
hexf4eeeb30

4109298480 has 600 divisors, whose sum is σ = 17510388192. Its totient is φ = 871907328.

The previous prime is 4109298443. The next prime is 4109298509. The reversal of 4109298480 is 848929014.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56291724 + ... + 56291796.

Almost surely, 24109298480 is an apocalyptic number.

4109298480 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 4109298480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8755194096).

4109298480 is an abundant number, since it is smaller than the sum of its proper divisors (13401089712).

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

4109298480 is a wasteful number, since it uses less digits than its factorization.

4109298480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 4109298480 is about 64103.8101831709. The cubic root of 4109298480 is about 1601.7297023240.

The spelling of 4109298480 in words is "four billion, one hundred nine million, two hundred ninety-eight thousand, four hundred eighty".