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991028016 = 243211647967
BaseRepresentation
bin111011000100011…
…110001100110000
32120001210102212100
4323010132030300
54012200344031
6242201100400
733362412336
oct7304361460
92501712770
10991028016
11469456020
12237a87700
1312a418514
1495893b56
155c00cde6
hex3b11e330

991028016 has 120 divisors (see below), whose sum is σ = 3033448704. Its totient is φ = 299537280.

The previous prime is 991027981. The next prime is 991028023. The reversal of 991028016 is 610820199.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024365 + ... + 1025331.

Almost surely, 2991028016 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 991028016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516724352).

991028016 is an abundant number, since it is smaller than the sum of its proper divisors (2042420688).

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

991028016 is a wasteful number, since it uses less digits than its factorization.

991028016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 991028016 is about 31480.5974530345. The cubic root of 991028016 is about 997.0003497620. Note that the first 3 decimals are identical.

The spelling of 991028016 in words is "nine hundred ninety-one million, twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 647 792 967 1294 1584 1934 1941 2588 2901 3868 3882 5176 5802 5823 7117 7736 7764 8703 10352 10637 11604 11646 14234 15472 15528 17406 21274 21351 23208 23292 28468 31056 31911 34812 42548 42702 46416 46584 56936 63822 64053 69624 85096 85404 93168 95733 113872 127644 128106 139248 170192 170808 191466 255288 256212 341616 382932 510576 512424 625649 765864 1024848 1251298 1531728 1876947 2502596 3753894 5005192 5630841 6882139 7507788 10010384 11261682 13764278 15015576 20646417 22523364 27528556 30031152 41292834 45046728 55057112 61939251 82585668 90093456 110114224 123878502 165171336 247757004 330342672 495514008 991028016