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10096334208 = 27333478419
BaseRepresentation
bin10010110011100100…
…11101010110000000
3222001122000220211000
421121302131112000
5131134130143313
64345503252000
7505124265462
oct113162352600
928048026730
1010096334208
114311132364
121b592aa000
13c4b94956c
146bac7c132
153e158b673
hex259c9d580

10096334208 has 128 divisors (see below), whose sum is σ = 29887632000. Its totient is φ = 3355347456.

The previous prime is 10096334203. The next prime is 10096334233. The reversal of 10096334208 is 80243369001.

10096334208 is a `hidden beast` number, since 10 + 0 + 9 + 633 + 4 + 2 + 0 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10096334201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195023 + ... + 1203441.

It is an arithmetic number, because the mean of its divisors is an integer number (233497125).

Almost surely, 210096334208 is an apocalyptic number.

10096334208 is a gapful number since it is divisible by the number (18) 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 10096334208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14943816000).

10096334208 is an abundant number, since it is smaller than the sum of its proper divisors (19791297792).

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

10096334208 is an equidigital number, since it uses as much as digits as its factorization.

10096334208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8789 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10096334208 in words is "ten billion, ninety-six million, three hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 347 384 432 576 694 864 1041 1152 1388 1728 2082 2776 3123 3456 4164 5552 6246 8328 8419 9369 11104 12492 16656 16838 18738 22208 24984 25257 33312 33676 37476 44416 49968 50514 66624 67352 74952 75771 99936 101028 133248 134704 149904 151542 199872 202056 227313 269408 299808 303084 399744 404112 454626 538816 599616 606168 808224 909252 1077632 1199232 1212336 1616448 1818504 2424672 2921393 3232896 3637008 4849344 5842786 7274016 8764179 9698688 11685572 14548032 17528358 23371144 26292537 29096064 35056716 46742288 52585074 70113432 78877611 93484576 105170148 140226864 157755222 186969152 210340296 280453728 315510444 373938304 420680592 560907456 631020888 841361184 1121814912 1262041776 1682722368 2524083552 3365444736 5048167104 10096334208