Search a number
-
+
12511004304 = 2433110977137
BaseRepresentation
bin10111010011011011…
…01100011010010000
31012021220122212110210
423221231230122100
5201110304114204
65425242124120
7622014532131
oct135155543220
935256585423
1012511004304
115340154787
122511ab0640
131244ca0636
14869839c88
154d355e389
hex2e9b6c690

12511004304 has 80 divisors (see below), whose sum is σ = 33669194240. Its totient is φ = 3998730240.

The previous prime is 12511004281. The next prime is 12511004323. The reversal of 12511004304 is 40340011521.

12511004304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 123624 + ... + 200760.

It is an arithmetic number, because the mean of its divisors is an integer number (420864928).

Almost surely, 212511004304 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 12511004304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16834597120).

12511004304 is an abundant number, since it is smaller than the sum of its proper divisors (21158189936).

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

12511004304 is a wasteful number, since it uses less digits than its factorization.

12511004304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77288 (or 77282 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 12511004304 its reverse (40340011521), we get a palindrome (52851015825).

The spelling of 12511004304 in words is "twelve billion, five hundred eleven million, four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 109 124 186 218 248 327 372 436 496 654 744 872 1308 1488 1744 2616 3379 5232 6758 10137 13516 20274 27032 40548 54064 77137 81096 154274 162192 231411 308548 462822 617096 925644 1234192 1851288 2391247 3702576 4782494 7173741 8407933 9564988 14347482 16815866 19129976 25223799 28694964 33631732 38259952 50447598 57389928 67263464 100895196 114779856 134526928 201790392 260645923 403580784 521291846 781937769 1042583692 1563875538 2085167384 3127751076 4170334768 6255502152 12511004304