Search a number
-
+
630685340649 = 327213229092
BaseRepresentation
bin10010010110101111100…
…01101001001111101001
32020021220112201212111100
421023113301221033221
540313120421400044
61201422143352013
763364653641400
oct11132761511751
92207815655440
10630685340649
11223521484161
12a22932b2609
134761cccb400
142274d72c637
1511613c20869
hex92d7c693e9

630685340649 has 81 divisors (see below), whose sum is σ = 1147905295173. Its totient is φ = 332554832064.

The previous prime is 630685340647. The next prime is 630685340657. The reversal of 630685340649 is 946043586036.

The square root of 630685340649 is 794157.

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

630685340649 is a `hidden beast` number, since 6 + 3 + 0 + 68 + 534 + 0 + 6 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 300155625 + 630385185024 = 17325^2 + 793968^2 .

It is not a de Polignac number, because 630685340649 - 21 = 630685340647 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 630685340595 and 630685340604.

It is not an unprimeable number, because it can be changed into a prime (630685340647) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 216803407 + ... + 216806315.

Almost surely, 2630685340649 is an apocalyptic number.

630685340649 is the 794157-th square number.

630685340649 is the 397079-th centered octagonal number.

It is an amenable number.

630685340649 is a deficient number, since it is larger than the sum of its proper divisors (517219954524).

630685340649 is an equidigital number, since it uses as much as digits as its factorization.

630685340649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 630685340649 in words is "six hundred thirty billion, six hundred eighty-five million, three hundred forty thousand, six hundred forty-nine".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 169 273 441 507 637 819 1183 1521 1911 2909 3549 5733 8281 8727 10647 20363 24843 26181 37817 61089 74529 113451 142541 183267 264719 340353 427623 491621 794157 1282869 1474863 1853033 2382471 3441347 4424589 5559099 8462281 10324041 16677297 24089429 25386843 30972123 59235967 72268287 76160529 110009653 177707901 216804861 330028959 414651769 533123703 770067571 990086877 1243955307 1430125489 2310202713 3731865921 4290376467 5390472997 6930608139 10010878423 12871129401 16171418991 30032635269 48514256973 70076148961 90097905807 210228446883 630685340649