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4532818752 = 2633711219163
BaseRepresentation
bin1000011100010110…
…10101001101000000
3102200220022001101000
410032023111031000
533240400200002
62025442012000
7220220216010
oct41613251500
912626261330
104532818752
111a16726900
12a66047000
13573127797
1431000dc40
151b7e2261c
hex10e2d5340

4532818752 has 672 divisors, whose sum is σ = 17728793600. Its totient is φ = 1108546560.

The previous prime is 4532818751. The next prime is 4532818753. The reversal of 4532818752 is 2578182354.

It is an interprime number because it is at equal distance from previous prime (4532818751) and next prime (4532818753).

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 4532818698 and 4532818707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4532818751) 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 95 ways as a sum of consecutive naturals, for example, 27808623 + ... + 27808785.

Almost surely, 24532818752 is an apocalyptic number.

4532818752 is a gapful number since it is divisible by the number (42) 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 4532818752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864396800).

4532818752 is an abundant number, since it is smaller than the sum of its proper divisors (13195974848).

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

4532818752 is a wasteful number, since it uses less digits than its factorization.

4532818752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 205 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 4532818752 is about 67326.2114781457. The cubic root of 4532818752 is about 1654.9674302271.

The spelling of 4532818752 in words is "four billion, five hundred thirty-two million, eight hundred eighteen thousand, seven hundred fifty-two".