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10264083712 = 28971073863
BaseRepresentation
bin10011000111100100…
…10111110100000000
3222111022200110212121
421203302113310000
5132010101134322
64414254534024
7512232162211
oct114362276400
928438613777
1010264083712
114397898013
121ba5507314
13c7762141c
146d5267408
15401174ec7
hex263c97d00

10264083712 has 72 divisors (see below), whose sum is σ = 20898150336. Its totient is φ = 5030363136.

The previous prime is 10264083649. The next prime is 10264083737. The reversal of 10264083712 is 21738046201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2655093 + ... + 2658955.

It is an arithmetic number, because the mean of its divisors is an integer number (290252088).

Almost surely, 210264083712 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 10264083712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10449075168).

10264083712 is an abundant number, since it is smaller than the sum of its proper divisors (10634066624).

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

10264083712 is an equidigital number, since it uses as much as digits as its factorization.

10264083712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 10264083712 in words is "ten billion, two hundred sixty-four million, eighty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 64 97 107 128 194 214 256 388 428 776 856 1552 1712 3104 3424 3863 6208 6848 7726 10379 12416 13696 15452 20758 24832 27392 30904 41516 61808 83032 123616 166064 247232 332128 374711 413341 494464 664256 749422 826682 988928 1328512 1498844 1653364 2657024 2997688 3306728 5995376 6613456 11990752 13226912 23981504 26453824 40094077 47963008 52907648 80188154 95926016 105815296 160376308 320752616 641505232 1283010464 2566020928 5132041856 10264083712