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991043648 = 26719173673
BaseRepresentation
bin111011000100100…
…010000001000000
32120001211020022022
4323010202001000
54012201344043
6242201301012
733362506040
oct7304420100
92501736268
10991043648
11469466841
12237a94768
1312a42267a
1495899720
155c012868
hex3b122040

991043648 has 112 divisors (see below), whose sum is σ = 2383048320. Its totient is φ = 399458304.

The previous prime is 991043639. The next prime is 991043659. The reversal of 991043648 is 846340199.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×9910436482 = 1964335024482295808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 991043599 and 991043608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1472240 + ... + 1472912.

Almost surely, 2991043648 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 991043648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191524160).

991043648 is an abundant number, since it is smaller than the sum of its proper divisors (1392004672).

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

991043648 is a wasteful number, since it uses less digits than its factorization.

991043648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 991043648 is about 31480.8457319685. The cubic root of 991043648 is about 997.0055918026.

The spelling of 991043648 in words is "nine hundred ninety-one million, forty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 173 224 266 304 346 448 532 608 673 692 1064 1211 1216 1346 1384 2128 2422 2692 2768 3287 4256 4711 4844 5384 5536 6574 8512 9422 9688 10768 11072 12787 13148 18844 19376 21536 23009 25574 26296 37688 38752 43072 46018 51148 52592 75376 77504 89509 92036 102296 105184 116429 150752 179018 184072 204592 210368 232858 301504 358036 368144 409184 465716 716072 736288 815003 818368 931432 1432144 1472576 1630006 1862864 2212151 2864288 3260012 3725728 4424302 5728576 6520024 7451456 8848604 13040048 15485057 17697208 26080096 30970114 35394416 52160192 61940228 70788832 123880456 141577664 247760912 495521824 991043648