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1630666752 = 2173111329
BaseRepresentation
bin110000100110010…
…0000000000000000
311012122101110020220
41201030200000000
511314422314002
6425450503040
755260303321
oct14114400000
94178343226
101630666752
11767518080
12396134a80
131ccab2390
141167d8448
159825a7bc
hex61320000

1630666752 has 288 divisors, whose sum is σ = 5284802880. Its totient is φ = 440401920.

The previous prime is 1630666747. The next prime is 1630666757. The reversal of 1630666752 is 2576660361.

It is an interprime number because it is at equal distance from previous prime (1630666747) and next prime (1630666757).

It is not an unprimeable number, because it can be changed into a prime (1630666757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56229874 + ... + 56229902.

It is an arithmetic number, because the mean of its divisors is an integer number (18350010).

Almost surely, 21630666752 is an apocalyptic number.

1630666752 is a gapful number since it is divisible by the number (12) 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 1630666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642401440).

1630666752 is an abundant number, since it is smaller than the sum of its proper divisors (3654136128).

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

1630666752 is an equidigital number, since it uses as much as digits as its factorization.

1630666752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 1630666752 is about 40381.5149790099. The cubic root of 1630666752 is about 1177.0323666318.

The spelling of 1630666752 in words is "one billion, six hundred thirty million, six hundred sixty-six thousand, seven hundred fifty-two".