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10454052320 = 255193438833
BaseRepresentation
bin10011011110001110…
…00010110111100000
3222222120010212210222
421233013002313200
5132402214133240
64445202342212
7520026656435
oct115707026740
928876125728
1010454052320
114485049268
12203905a968
13ca7aa579a
14712597b8c
15412b9beb5
hex26f1c2de0

10454052320 has 48 divisors (see below), whose sum is σ = 25997585040. Its totient is φ = 3961534464.

The previous prime is 10454052289. The next prime is 10454052341. The reversal of 10454052320 is 2325045401.

It is a happy number.

10454052320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10454052320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1716377 + ... + 1722456.

It is an arithmetic number, because the mean of its divisors is an integer number (541616355).

Almost surely, 210454052320 is an apocalyptic number.

10454052320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10454052320 is an abundant number, since it is smaller than the sum of its proper divisors (15543532720).

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

10454052320 is a wasteful number, since it uses less digits than its factorization.

10454052320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438867 (or 3438859 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 10454052320 its reverse (2325045401), we get a palindrome (12779097721).

The spelling of 10454052320 in words is "ten billion, four hundred fifty-four million, fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 3438833 6877666 13755332 17194165 27510664 34388330 55021328 65337827 68776660 110042656 130675654 137553320 261351308 275106640 326689135 522702616 550213280 653378270 1045405232 1306756540 2090810464 2613513080 5227026160 10454052320