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630096012 = 22327131953191
BaseRepresentation
bin100101100011101…
…000000010001100
31121220122012020100
4211203220002030
52242301033022
6142305051100
721420504420
oct4543500214
91556565210
10630096012
112a3744507
12157026a90
13a07054a0
145d97cb80
153a4b51ac
hex258e808c

630096012 has 288 divisors, whose sum is σ = 2113413120. Its totient is φ = 153653760.

The previous prime is 630095981. The next prime is 630096043. The reversal of 630096012 is 210690036.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (630095981) and next prime (630096043).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3298837 + ... + 3299027.

It is an arithmetic number, because the mean of its divisors is an integer number (7338240).

Almost surely, 2630096012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630096012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056706560).

630096012 is an abundant number, since it is smaller than the sum of its proper divisors (1483317108).

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

630096012 is a wasteful number, since it uses less digits than its factorization.

630096012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 630096012 is about 25101.7133279782. The cubic root of 630096012 is about 857.3054349232.

The spelling of 630096012 in words is "six hundred thirty million, ninety-six thousand, twelve".