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10278230272 = 28192111217
BaseRepresentation
bin10011001001010000…
…10101100100000000
3222112022022012022021
421210220111210000
5132022211332042
64415522051224
7512463341632
oct114450254400
928468265267
1010278230272
1143a487a592
121baa1a9b14
13c7a53547b
146d70aaa52
1540251b867
hex264a15900

10278230272 has 54 divisors (see below), whose sum is σ = 21653143638. Its totient is φ = 4868591616.

The previous prime is 10278230251. The next prime is 10278230293. The reversal of 10278230272 is 27203287201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10278230251) and next prime (10278230293).

It can be written as a sum of positive squares in only one way, i.e., 9701462016 + 576768256 = 98496^2 + 24016^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36808 + ... + 148024.

Almost surely, 210278230272 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 10278230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10826571819).

10278230272 is an abundant number, since it is smaller than the sum of its proper divisors (11374913366).

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

10278230272 is an equidigital number, since it uses as much as digits as its factorization.

10278230272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111271 (or 111238 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 10278230272 in words is "ten billion, two hundred seventy-eight million, two hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 608 722 1216 1444 2432 2888 4864 5776 11552 23104 46208 92416 111217 222434 444868 889736 1779472 2113123 3558944 4226246 7117888 8452492 14235776 16904984 28471552 33809968 40149337 67619936 80298674 135239872 160597348 270479744 321194696 540959488 642389392 1284778784 2569557568 5139115136 10278230272