Search a number
-
+
16463956656 = 2437313834127
BaseRepresentation
bin11110101010101010…
…00000101010110000
31120111101211122200110
433111111000222300
5232204233103111
611321411421320
71121664215430
oct172525005260
946441748613
1016463956656
116a89524354
1232358b4840
131724c2b6b4
14b228242c0
156655de5a6
hex3d5540ab0

16463956656 has 160 divisors (see below), whose sum is σ = 50319065088. Its totient is φ = 4539260160.

The previous prime is 16463956631. The next prime is 16463956673. The reversal of 16463956656 is 65665936461.

It is a junction number, because it is equal to n+sod(n) for n = 16463956596 and 16463956605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3987265 + ... + 3991391.

Almost surely, 216463956656 is an apocalyptic number.

16463956656 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 16463956656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159532544).

16463956656 is an abundant number, since it is smaller than the sum of its proper divisors (33855108432).

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

16463956656 is a wasteful number, since it uses less digits than its factorization.

16463956656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559 (or 4553 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 57.

The spelling of 16463956656 in words is "sixteen billion, four hundred sixty-three million, nine hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 383 434 496 651 744 766 868 1149 1302 1488 1532 1736 2298 2604 2681 3064 3472 4127 4596 5208 5362 6128 8043 8254 9192 10416 10724 11873 12381 16086 16508 18384 21448 23746 24762 28889 32172 33016 35619 42896 47492 49524 57778 64344 66032 71238 83111 86667 94984 99048 115556 127937 128688 142476 166222 173334 189968 198096 231112 249333 255874 284952 332444 346668 383811 462224 498666 511748 569904 664888 693336 767622 895559 997332 1023496 1329776 1386672 1535244 1580641 1791118 1994664 2046992 2686677 3070488 3161282 3582236 3989328 4741923 5373354 6140976 6322564 7164472 9483846 10746708 11064487 12645128 14328944 18967692 21493416 22128974 25290256 33193461 37935384 42986832 44257948 48999871 66386922 75870768 88515896 97999742 132773844 146999613 177031792 195999484 265547688 293999226 342999097 391998968 531095376 587998452 685998194 783997936 1028997291 1175996904 1371996388 2057994582 2351993808 2743992776 4115989164 5487985552 8231978328 16463956656