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20182910112 = 25321133491777
BaseRepresentation
bin10010110010111111…
…101100010010100000
31221002120201001202100
4102302333230102200
5312313311110422
613134421450400
71313102622351
oct226277542240
957076631670
1020182910112
1186177aa102
123ab3270a00
131b9855a281
14d966d9d28
157d1d4b7ac
hex4b2fec4a0

20182910112 has 144 divisors (see below), whose sum is σ = 58101661800. Its totient is φ = 6645252096.

The previous prime is 20182910107. The next prime is 20182910147. The reversal of 20182910112 is 21101928102.

It can be written as a sum of positive squares in 4 ways, for example, as 13866475536 + 6316434576 = 117756^2 + 79476^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11356968 + ... + 11358744.

Almost surely, 220182910112 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 20182910112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29050830900).

20182910112 is an abundant number, since it is smaller than the sum of its proper divisors (37918751688).

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

20182910112 is a wasteful number, since it uses less digits than its factorization.

20182910112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 20182910112 in words is "twenty billion, one hundred eighty-two million, nine hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 226 288 339 349 452 678 698 904 1017 1047 1356 1396 1777 1808 2034 2094 2712 2792 3141 3554 3616 4068 4188 5331 5424 5584 6282 7108 8136 8376 10662 10848 11168 12564 14216 15993 16272 16752 21324 25128 28432 31986 32544 33504 39437 42648 50256 56864 63972 78874 85296 100512 118311 127944 157748 170592 200801 236622 255888 315496 354933 401602 473244 511776 602403 620173 630992 709866 803204 946488 1204806 1240346 1261984 1419732 1606408 1807209 1860519 1892976 2409612 2480692 2839464 3212816 3614418 3721038 3785952 4819224 4961384 5581557 5678928 6425632 7228836 7442076 9638448 9922768 11163114 11357856 14457672 14884152 19276896 19845536 22326228 28915344 29768304 44652456 57830688 59536608 70079549 89304912 140159098 178609824 210238647 280318196 420477294 560636392 630715941 840954588 1121272784 1261431882 1681909176 2242545568 2522863764 3363818352 5045727528 6727636704 10091455056 20182910112