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630904329216 = 2103572811289
BaseRepresentation
bin10010010111001001101…
…01000001010000000000
32020022110210210122100000
421023210311001100000
540314043002013331
61201500005200000
763403253213130
oct11134465012000
92208423718300
10630904329216
11223624056547
12a2334700000
13476564a3645
1422770854ac0
151162807b0e6
hex92e4d41400

630904329216 has 528 divisors, whose sum is σ = 2168443105920. Its totient is φ = 179477544960.

The previous prime is 630904329203. The next prime is 630904329287. The reversal of 630904329216 is 612923409036.

630904329216 is a `hidden beast` number, since 6 + 30 + 90 + 432 + 92 + 16 = 666.

It is a super-2 number, since 2×6309043292162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 489451900 + ... + 489453188.

Almost surely, 2630904329216 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 630904329216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084221552960).

630904329216 is an abundant number, since it is smaller than the sum of its proper divisors (1537538776704).

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

630904329216 is a wasteful number, since it uses less digits than its factorization.

630904329216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 630904329216 in words is "six hundred thirty billion, nine hundred four million, three hundred twenty-nine thousand, two hundred sixteen".