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10096409960 = 2357136194481
BaseRepresentation
bin10010110011100101…
…01111110101101000
3222001122011202201122
421121302233311220
5131134140104320
64345505034412
7505125032360
oct113162576550
928048152648
1010096409960
11431118426a
121b59325a08
13c4b974ba0
146bac9b9a0
153e15a3d25
hex259cafd68

10096409960 has 128 divisors (see below), whose sum is σ = 28010707200. Its totient is φ = 3189473280.

The previous prime is 10096409959. The next prime is 10096409969. The reversal of 10096409960 is 6990469001.

It is not an unprimeable number, because it can be changed into a prime (10096409969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2250920 + ... + 2255400.

It is an arithmetic number, because the mean of its divisors is an integer number (218833650).

Almost surely, 210096409960 is an apocalyptic number.

10096409960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10096409960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14005353600).

10096409960 is an abundant number, since it is smaller than the sum of its proper divisors (17914297240).

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

10096409960 is a wasteful number, since it uses less digits than its factorization.

10096409960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 44.

The spelling of 10096409960 in words is "ten billion, ninety-six million, four hundred nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 619 728 910 1238 1820 2476 3095 3640 4333 4481 4952 6190 8047 8666 8962 12380 16094 17332 17924 21665 22405 24760 31367 32188 34664 35848 40235 43330 44810 56329 58253 62734 64376 80470 86660 89620 112658 116506 125468 156835 160940 173320 179240 225316 233012 250936 281645 291265 313670 321880 407771 450632 466024 563290 582530 627340 815542 1126580 1165060 1254680 1631084 2038855 2253160 2330120 2773739 3262168 4077710 5547478 8155420 11094956 13868695 16310840 19416173 22189912 27737390 36058607 38832346 55474780 72117214 77664692 97080865 110949560 144234428 155329384 180293035 194161730 252410249 288468856 360586070 388323460 504820498 721172140 776646920 1009640996 1262051245 1442344280 2019281992 2524102490 5048204980 10096409960