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10427333000 = 235371978401
BaseRepresentation
bin10011011011000010…
…00111100110001000
3222220200212101210112
421231201013212020
5132323344124000
64442405533452
7516253603520
oct115541074610
928820771715
1010427333000
114470a59687
122030114288
13ca23abb36
1470cc00680
15410670235
hex26d847988

10427333000 has 128 divisors (see below), whose sum is σ = 29353708800. Its totient is φ = 3386880000.

The previous prime is 10427332999. The next prime is 10427333039. The reversal of 10427333000 is 33372401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93800 + ... + 172200.

It is an arithmetic number, because the mean of its divisors is an integer number (229325850).

Almost surely, 210427333000 is an apocalyptic number.

10427333000 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 10427333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676854400).

10427333000 is an abundant number, since it is smaller than the sum of its proper divisors (18926375800).

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

10427333000 is a wasteful number, since it uses less digits than its factorization.

10427333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78448 (or 78434 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The spelling of 10427333000 in words is "ten billion, four hundred twenty-seven million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 350 380 475 500 532 665 700 760 875 950 1000 1064 1330 1400 1750 1900 2375 2660 3325 3500 3800 4750 5320 6650 7000 9500 13300 16625 19000 26600 33250 66500 78401 133000 156802 313604 392005 548807 627208 784010 1097614 1489619 1568020 1960025 2195228 2744035 2979238 3136040 3920050 4390456 5488070 5958476 7448095 7840100 9800125 10427333 10976140 11916952 13720175 14896190 15680200 19600250 20854666 21952280 27440350 29792380 37240475 39200500 41709332 52136665 54880700 59584760 68600875 74480950 78401000 83418664 104273330 109761400 137201750 148961900 186202375 208546660 260683325 274403500 297923800 372404750 417093320 521366650 548807000 744809500 1042733300 1303416625 1489619000 2085466600 2606833250 5213666500 10427333000