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195096450960 = 2434530107477
BaseRepresentation
bin1011010110110010100…
…1111001011110010000
3200122120121101120210000
42311230221321132100
511144024142412320
6225343122010000
720044446320445
oct2655451713620
9618517346700
10195096450960
1175815951234
12319894a6900
1315522460878
14962ab699cc
15511cc20c90
hex2d6ca79790

195096450960 has 100 divisors (see below), whose sum is σ = 677598899868. Its totient is φ = 52025718528.

The previous prime is 195096450877. The next prime is 195096451007. The reversal of 195096450960 is 69054690591.

195096450960 is a `hidden beast` number, since 1 + 9 + 509 + 6 + 45 + 0 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132388277904 + 62708173056 = 363852^2 + 250416^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 195096450897 and 195096450906.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15047259 + ... + 15060218.

Almost surely, 2195096450960 is an apocalyptic number.

195096450960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

195096450960 is an abundant number, since it is smaller than the sum of its proper divisors (482502448908).

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

195096450960 is a wasteful number, since it uses less digits than its factorization.

195096450960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30107502 (or 30107487 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 195096450960 in words is "one hundred ninety-five billion, ninety-six million, four hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 30107477 60214954 90322431 120429908 150537385 180644862 240859816 270967293 301074770 361289724 451612155 481719632 541934586 602149540 722579448 812901879 903224310 1083869172 1204299080 1354836465 1445158896 1625803758 1806448620 2167738344 2408598160 2438705637 2709672930 3251607516 3612897240 4064509395 4335476688 4877411274 5419345860 6503215032 7225794480 8129018790 9754822548 10838691720 12193528185 13006430064 16258037580 19509645096 21677383440 24387056370 32516075160 39019290192 48774112740 65032150320 97548225480 195096450960