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1630463641 = 14922712
BaseRepresentation
bin110000100101110…
…1110011010011001
311012122000010122021
41201023232122121
511314344314031
6425442254441
755255466212
oct14113563231
94178003567
101630463641
11767399514
12396057421
131cca40ab1
14116784409
159821a511
hex612ee699

1630463641 has 9 divisors (see below), whose sum is σ = 1647559263. Its totient is φ = 1613544840.

The previous prime is 1630463603. The next prime is 1630463657. The reversal of 1630463641 is 1463640361.

The square root of 1630463641 is 40379.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 191020041 + 1439443600 = 13821^2 + 37940^2 .

It is not a de Polignac number, because 1630463641 - 211 = 1630461593 is a prime.

It is a super-3 number, since 3×16304636413 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1630463597 and 1630463606.

It is not an unprimeable number, because it can be changed into a prime (1630463671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6016336 + ... + 6016606.

Almost surely, 21630463641 is an apocalyptic number.

1630463641 is the 40379-th square number.

1630463641 is the 20190-th centered octagonal number.

It is an amenable number.

1630463641 is a deficient number, since it is larger than the sum of its proper divisors (17095622).

1630463641 is an frugal number, since it uses more digits than its factorization.

1630463641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The cubic root of 1630463641 is about 1176.9834953858.

The spelling of 1630463641 in words is "one billion, six hundred thirty million, four hundred sixty-three thousand, six hundred forty-one".

Divisors: 1 149 271 22201 40379 73441 6016471 10942709 1630463641