Search a number
-
+
12500790384 = 2431960122807
BaseRepresentation
bin10111010010001101…
…01110110001110000
31012021012102221121110
423221012232301300
5201100200243014
65424235153320
7621531652005
oct135106566160
935235387543
1012500790384
115335408925
12250a5a5840
131242b355b4
1486833b8ac
154d26e2d59
hex2e91aec70

12500790384 has 80 divisors (see below), whose sum is σ = 34051431680. Its totient is φ = 3940876800.

The previous prime is 12500790383. The next prime is 12500790397. The reversal of 12500790384 is 48309700521.

12500790384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12500790383) by changing a digit.

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, 536709 + ... + 559515.

It is an arithmetic number, because the mean of its divisors is an integer number (425642896).

Almost surely, 212500790384 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 12500790384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17025715840).

12500790384 is an abundant number, since it is smaller than the sum of its proper divisors (21550641296).

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

12500790384 is a wasteful number, since it uses less digits than its factorization.

12500790384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23438 (or 23432 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 12500790384 in words is "twelve billion, five hundred million, seven hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 601 912 1202 1803 2404 3606 4808 7212 9616 11419 14424 22807 22838 28848 34257 45614 45676 68421 68514 91228 91352 136842 137028 182456 182704 273684 274056 364912 433333 547368 548112 866666 1094736 1299999 1733332 2599998 3466664 5199996 6933328 10399992 13707007 20799984 27414014 41121021 54828028 82242042 109656056 164484084 219312112 260433133 328968168 520866266 657936336 781299399 1041732532 1562598798 2083465064 3125197596 4166930128 6250395192 12500790384