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4523127840 = 25325711192113
BaseRepresentation
bin1000011011001100…
…10111010000100000
3102200020001200221100
410031212113100200
533230410042330
62024454154400
7220041644430
oct41546272040
912606050840
104523127840
111a11207990
12a62952a00
1357111380a
1430ca0a2c0
151b715b060
hex10d997420

4523127840 has 864 divisors, whose sum is σ = 20489728896. Its totient is φ = 882524160.

The previous prime is 4523127827. The next prime is 4523127841. The reversal of 4523127840 is 487213254.

It is a happy number.

4523127840 is a `hidden beast` number, since 4 + 523 + 127 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4523127795 and 4523127804.

It is not an unprimeable number, because it can be changed into a prime (4523127841) 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 143 ways as a sum of consecutive naturals, for example, 40027624 + ... + 40027736.

It is an arithmetic number, because the mean of its divisors is an integer number (23714964).

Almost surely, 24523127840 is an apocalyptic number.

4523127840 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 4523127840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244864448).

4523127840 is an abundant number, since it is smaller than the sum of its proper divisors (15966601056).

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

4523127840 is a wasteful number, since it uses less digits than its factorization.

4523127840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4523127840 is about 67254.2031400269. The cubic root of 4523127840 is about 1653.7871795742.

The spelling of 4523127840 in words is "four billion, five hundred twenty-three million, one hundred twenty-seven thousand, eight hundred forty".