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1992566912 = 27723313119
BaseRepresentation
bin111011011000100…
…0010100010000000
312010212100212221112
41312301002202000
513040044120122
6525415342452
7100243352660
oct16661024200
95125325845
101992566912
11932830016
12477381a28
13259a73c9b
1414c8c21a0
15b9de52e2
hex76c42880

1992566912 has 128 divisors (see below), whose sum is σ = 4888166400. Its totient is φ = 790225920.

The previous prime is 1992566899. The next prime is 1992566963. The reversal of 1992566912 is 2196652991.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 637289 + ... + 640407.

It is an arithmetic number, because the mean of its divisors is an integer number (38188800).

Almost surely, 21992566912 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 1992566912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444083200).

1992566912 is an abundant number, since it is smaller than the sum of its proper divisors (2895599488).

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

1992566912 is a wasteful number, since it uses less digits than its factorization.

1992566912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194 (or 3182 counting only the distinct ones).

The product of its digits is 524880, while the sum is 50.

The square root of 1992566912 is about 44638.1777405843. The cubic root of 1992566912 is about 1258.3582615629.

The spelling of 1992566912 in words is "one billion, nine hundred ninety-two million, five hundred sixty-six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 92 112 124 128 161 184 217 224 248 322 368 434 448 496 644 713 736 868 896 992 1288 1426 1472 1736 1984 2576 2852 2944 3119 3472 3968 4991 5152 5704 6238 6944 9982 10304 11408 12476 13888 19964 20608 21833 22816 24952 27776 39928 43666 45632 49904 71737 79856 87332 91264 96689 99808 143474 159712 174664 193378 199616 286948 319424 349328 386756 399232 502159 573896 638848 676823 698656 773512 1004318 1147792 1353646 1397312 1547024 2008636 2223847 2295584 2707292 2794624 3094048 4017272 4447694 4591168 5414584 6188096 8034544 8895388 9182336 10829168 12376192 15566929 16069088 17790776 21658336 31133858 32138176 35581552 43316672 62267716 64276352 71163104 86633344 124535432 142326208 249070864 284652416 498141728 996283456 1992566912