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4523345904 = 2437112313797
BaseRepresentation
bin1000011011001110…
…01100011111110000
3102200020110210001210
410031213030133300
533230434032104
62024503000120
7220043543250
oct41547143760
912606423053
104523345904
111a11346800
12a62a39040
1357118bb4c
1430ca65960
151b71a0989
hex10d9cc7f0

4523345904 has 480 divisors, whose sum is σ = 15722549248. Its totient is φ = 1094860800.

The previous prime is 4523345891. The next prime is 4523345909. The reversal of 4523345904 is 4095433254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4523345909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46632384 + ... + 46632480.

Almost surely, 24523345904 is an apocalyptic number.

4523345904 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 4523345904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861274624).

4523345904 is an abundant number, since it is smaller than the sum of its proper divisors (11199203344).

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

4523345904 is a wasteful number, since it uses less digits than its factorization.

4523345904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The square root of 4523345904 is about 67255.8243128430. The cubic root of 4523345904 is about 1653.8137559954.

The spelling of 4523345904 in words is "four billion, five hundred twenty-three million, three hundred forty-five thousand, nine hundred four".