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10230683008 = 277131735077
BaseRepresentation
bin10011000011100101…
…11101010110000000
3222101222211112201111
421201302331112000
5131423023324013
64411103013104
7511345241110
oct114162752600
928358745644
1010230683008
11437aa54627
121b9629a194
13c707285b0
146d0a51040
153ed27873d
hex261cbd580

10230683008 has 128 divisors (see below), whose sum is σ = 25234816320. Its totient is φ = 4023115776.

The previous prime is 10230682919. The next prime is 10230683033. The reversal of 10230683008 is 80038603201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2012566 + ... + 2017642.

Almost surely, 210230683008 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 10230683008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12617408160).

10230683008 is an abundant number, since it is smaller than the sum of its proper divisors (15004133312).

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

10230683008 is a wasteful number, since it uses less digits than its factorization.

10230683008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5284 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 10230683008 in words is "ten billion, two hundred thirty million, six hundred eighty-three thousand, eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 173 182 208 224 346 364 416 448 692 728 832 896 1211 1384 1456 1664 2249 2422 2768 2912 4498 4844 5077 5536 5824 8996 9688 10154 11072 11648 15743 17992 19376 20308 22144 31486 35539 35984 38752 40616 62972 66001 71078 71968 77504 81232 125944 132002 142156 143936 155008 162464 251888 264004 284312 287872 324928 462007 503776 528008 568624 649856 878321 924014 1007552 1056016 1137248 1756642 1848028 2015104 2112032 2274496 3513284 3696056 4224064 4548992 6148247 7026568 7392112 8448128 11418173 12296494 14053136 14784224 22836346 24592988 28106272 29568448 45672692 49185976 56212544 59136896 79927211 91345384 98371952 112425088 159854422 182690768 196743904 319708844 365381536 393487808 639417688 730763072 786975616 1278835376 1461526144 2557670752 5115341504 10230683008