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259103333940 = 223511392580809
BaseRepresentation
bin1111000101001111000…
…0110001111000110100
3220202210100122010122120
43301103300301320310
513221120423141230
6315010323355540
724501551666643
oct3612360617064
9822710563576
10259103333940
119a981093830
1242271222bb0
131b58307c319
14c77d84535a
156b17108310
hex3c53c31e34

259103333940 has 48 divisors (see below), whose sum is σ = 791442912960. Its totient is φ = 62812929280.

The previous prime is 259103333921. The next prime is 259103333941. The reversal of 259103333940 is 49333301952.

259103333940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 259103333892 and 259103333901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259103333941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196289745 + ... + 196291064.

It is an arithmetic number, because the mean of its divisors is an integer number (16488394020).

Almost surely, 2259103333940 is an apocalyptic number.

259103333940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259103333940 is an abundant number, since it is smaller than the sum of its proper divisors (532339579020).

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

259103333940 is a wasteful number, since it uses less digits than its factorization.

259103333940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392580832 (or 392580830 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 42.

The spelling of 259103333940 in words is "two hundred fifty-nine billion, one hundred three million, three hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 392580809 785161618 1177742427 1570323236 1962904045 2355484854 3925808090 4318388899 4710969708 5888712135 7851616180 8636777798 11777424270 12955166697 17273555596 21591944495 23554848540 25910333394 43183888990 51820666788 64775833485 86367777980 129551666970 259103333940