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10256378440 = 2357113329993
BaseRepresentation
bin10011000110101001…
…11110101001001000
3222110210012000020011
421203110332221020
5132001113102230
64413421441304
7512106530650
oct114324765110
928423160204
1010256378440
114393504a20
121ba2a10234
13c75b541a9
146d421d360
15400651e2a
hex26353ea48

10256378440 has 64 divisors (see below), whose sum is σ = 28771148160. Its totient is φ = 3196792320.

The previous prime is 10256378437. The next prime is 10256378441. The reversal of 10256378440 is 4487365201.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10256378393 and 10256378402.

It is not an unprimeable number, because it can be changed into a prime (10256378441) 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, 1661917 + ... + 1668076.

It is an arithmetic number, because the mean of its divisors is an integer number (449549190).

Almost surely, 210256378440 is an apocalyptic number.

10256378440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10256378440 is an abundant number, since it is smaller than the sum of its proper divisors (18514769720).

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

10256378440 is a wasteful number, since it uses less digits than its factorization.

10256378440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330022 (or 3330018 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 10256378440 in words is "ten billion, two hundred fifty-six million, three hundred seventy-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 3329993 6659986 13319972 16649965 23309951 26639944 33299930 36629923 46619902 66599860 73259846 93239804 116549755 133199720 146519692 183149615 186479608 233099510 256409461 293039384 366299230 466199020 512818922 732598460 932398040 1025637844 1282047305 1465196920 2051275688 2564094610 5128189220 10256378440