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989993016 = 233437157263
BaseRepresentation
bin111011000000100…
…001100000111000
32112222211212010000
4323000201200320
54011414234031
6242122553000
733350542005
oct7300414070
92488755100
10989993016
11468909451
12237668760
1312a1453ac
14956a48ac
155bda63e6
hex3b021838

989993016 has 160 divisors (see below), whose sum is σ = 2876876640. Its totient is φ = 317820672.

The previous prime is 989993009. The next prime is 989993023. The reversal of 989993016 is 610399989.

It is an interprime number because it is at equal distance from previous prime (989993009) and next prime (989993023).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 3764101 + ... + 3764363.

It is an arithmetic number, because the mean of its divisors is an integer number (17980479).

Almost surely, 2989993016 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 989993016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438438320).

989993016 is an abundant number, since it is smaller than the sum of its proper divisors (1886883624).

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

989993016 is a wasteful number, since it uses less digits than its factorization.

989993016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The square root of 989993016 is about 31464.1544618634. The cubic root of 989993016 is about 996.6531497566.

The spelling of 989993016 in words is "nine hundred eighty-nine million, nine hundred ninety-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 157 162 216 222 263 296 314 324 333 444 471 526 628 648 666 789 888 942 999 1052 1256 1332 1413 1578 1884 1998 2104 2367 2664 2826 2997 3156 3768 3996 4239 4734 5652 5809 5994 6312 7101 7992 8478 9468 9731 11304 11618 11988 12717 14202 16956 17427 18936 19462 21303 23236 23976 25434 28404 29193 33912 34854 38924 41291 42606 46472 50868 52281 56808 58386 69708 77848 82582 85212 87579 101736 104562 116772 123873 139416 156843 165164 170424 175158 209124 233544 247746 262737 313686 330328 350316 371619 418248 470529 495492 525474 627372 700632 743238 788211 941058 990984 1050948 1114857 1254744 1486476 1527767 1576422 1882116 2101896 2229714 2972952 3055534 3152844 3344571 3764232 4459428 4583301 6111068 6305688 6689142 8918856 9166602 12222136 13378284 13749903 18333204 26756568 27499806 36666408 41249709 54999612 82499418 109999224 123749127 164998836 247498254 329997672 494996508 989993016