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1630143216 = 2432132337861
BaseRepresentation
bin110000100101010…
…0000001011110000
311012121101212002200
41201022200023300
511314304040331
6425431343200
755252663062
oct14112401360
94177355080
101630143216
1176719a7a9
12395b21b00
131cc95acb0
141166dd732
15981a55e6
hex612a02f0

1630143216 has 120 divisors (see below), whose sum is σ = 5126817696. Its totient is φ = 479761920.

The previous prime is 1630143191. The next prime is 1630143223. The reversal of 1630143216 is 6123410361.

1630143216 is a `hidden beast` number, since 1 + 630 + 1 + 4 + 3 + 21 + 6 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 1630143216.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 24126 + ... + 61986.

Almost surely, 21630143216 is an apocalyptic number.

1630143216 is a gapful number since it is divisible by the number (16) 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 1630143216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563408848).

1630143216 is an abundant number, since it is smaller than the sum of its proper divisors (3496674480).

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

1630143216 is a wasteful number, since it uses less digits than its factorization.

1630143216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37911 (or 37902 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1630143216 is about 40375.0320866746. The cubic root of 1630143216 is about 1176.9063885566.

Adding to 1630143216 its reverse (6123410361), we get a palindrome (7753553577).

The spelling of 1630143216 in words is "one billion, six hundred thirty million, one hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 276 299 312 368 414 468 552 598 624 828 897 936 1104 1196 1656 1794 1872 2392 2691 3312 3588 4784 5382 7176 10764 14352 21528 37861 43056 75722 113583 151444 227166 302888 340749 454332 492193 605776 681498 870803 908664 984386 1362996 1476579 1741606 1817328 1968772 2612409 2725992 2953158 3483212 3937544 4429737 5224818 5451984 5906316 6966424 7837227 7875088 8859474 10449636 11320439 11812632 13932848 15674454 17718948 20899272 22640878 23625264 31348908 33961317 35437896 41798544 45281756 62697816 67922634 70875792 90563512 101883951 125395632 135845268 181127024 203767902 271690536 407535804 543381072 815071608 1630143216